Finding the Fourth Proportional to 906,079,910,897.05, 1,252,025,887,635.80 and 645,204,711,823.12
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Solution
The fourth proportional to 906,079,910,897.05, 1,252,025,887,635.80 and 645,204,711,823.12 is: 891,547,193,919.55
Step by Step Solution
- Step 1: Write the proportion equation
906,079,910,897.05 : 1,252,025,887,635.80 = 645,204,711,823.12 : x - Step 2: Convert to fraction form
906,079,910,897.05/1,252,025,887,635.80 = 645,204,711,823.12/x - Step 3: Cross multiply
906,079,910,897.05x = 1,252,025,887,635.80 × 645,204,711,823.12 - Step 4: Simplify right side
906,079,910,897.05x = 807,813,002,027,142,372,917,248 - Step 5: Solve for x
x = 807,813,002,027,142,372,917,248/906,079,910,897.05 - Step 6: Final answer
x = 891,547,193,919.55
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.