Page:Conversations, between James Block, Esq. and Millar, the editor of the Monthly Miscellany.pdf/16

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Duplicate Geometrical Progression of the National Debt in ⟨millions⟩ of pounds each term being seventeen and a half years.

3

8

1698

4

16

1715 1/2

6

64

1750 1/2

7

128

1768

8

256

1785 1/2

9

512

1803

⟨10⟩

⟨1024⟩

18(illegible text)

It appears from this statement, that the National Debt had (illegible text)led itself since its commencement, 120 years ago, in aboot (illegible text) seventeen and a half years, upon an average. Allow the ⟨national⟩ debt in 1820, to be 1024 millions of poonds, and to ⟨continue in⟩ that ratio, what will be the amount of the national chebt in 30(illegible text)

Solution. 1024 millions squared=1048576=(illegible text) years additional, or till anno 1995. 1048576 ⟨millions⟩ squared=1,099,511,627,776 millions=350 years ⟨additional⟩ or 2345 a.d. 1,099,511,627,776 millions ⟨squared⟩=1,208,925,819,614,629,174,706,176 ⟨{{{1}}}⟩700 years additional; or anno 3045. Or, 1 septillion, (illegible text) thousand, 925 quadrillion, 819 thousand, 614 ⟨trilion⟩ 629 thousand, 174 billion, 706 thousand 176 ⟨million⟩

XVII. The diameter of the earth, from the latest ⟨experiments⟩ is 42073016 feet, A cubic foot of fine gold is 1506.135168 lbs. (illegible text) weight, and a pound Troy weight of fine gold is equal in ⟨value to⟩ 48 pound sterling. Required how many globe of fine solid (illegible text) and each of them as large as the globe of our earth, will the ⟨amount⟩ of the National Debt be equal to, on anno 3045, according to ⟨the increasing⟩ geometical progression mentioned in last question?

Solution. The answer of the last question divide (illegible text) £48 gives 25185951575304774473045333333 1/3 (illegible text) troy of fine gold. Then the cube of 42073016 (illegible text) is 74501628045372347908096 feet, cube of the ⟨diameter⟩ of the earth; then this last number multiplied (illegible text) .5236, being the 6th part of 3.1416 (the ⟨circumference⟩ of a circle whose diameter is one) and the product (illegible text) be equal to 39009052444556961364679.0656, the ⟨cubic⟩ feet in the globe of the earth. Then this last (illegible text)duct being multiplied into 1506.135168 lbs. ⟨Troy⟩ 58752905757103609690560413.73354 lbs. Troy ⟨of⟩ gold: equal to the globe of our earth. Ans 428 1/2 gl(illegible text) of fine solid gold each of them as large as the ⟨globe⟩ of our earth. Interest at 2 1/2 per cent=10 1/2 ⟨globes⟩ of fine gold, and each of of them as large as our ⟨earth⟩

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