Finding the Fourth Proportional to 747,564,750,829.12, 1,031,625,908,464.60 and 422,397,061,195.73
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Solution
The fourth proportional to 747,564,750,829.12, 1,031,625,908,464.60 and 422,397,061,195.73 is: 582,900,346,097.82
Step by Step Solution
- Step 1: Write the proportion equation
747,564,750,829.12 : 1,031,625,908,464.60 = 422,397,061,195.73 : x - Step 2: Convert to fraction form
747,564,750,829.12/1,031,625,908,464.60 = 422,397,061,195.73/x - Step 3: Cross multiply
747,564,750,829.12x = 1,031,625,908,464.60 × 422,397,061,195.73 - Step 4: Simplify right side
747,564,750,829.12x = 435,755,751,988,822,198,452,224 - Step 5: Solve for x
x = 435,755,751,988,822,198,452,224/747,564,750,829.12 - Step 6: Final answer
x = 582,900,346,097.82
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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.