Finding the Fourth Proportional to 1,027,654,294.05, 1,417,919,861.77 and 581,617,657.14
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Solution
The fourth proportional to 1,027,654,294.05, 1,417,919,861.77 and 581,617,657.14 is: 802,494,800.82
Step by Step Solution
- Step 1: Write the proportion equation
1,027,654,294.05 : 1,417,919,861.77 = 581,617,657.14 : x - Step 2: Convert to fraction form
1,027,654,294.05/1,417,919,861.77 = 581,617,657.14/x - Step 3: Cross multiply
1,027,654,294.05x = 1,417,919,861.77 × 581,617,657.14 - Step 4: Simplify right side
1,027,654,294.05x = 824,687,228,012,032,000 - Step 5: Solve for x
x = 824,687,228,012,032,000/1,027,654,294.05 - Step 6: Final answer
x = 802,494,800.82
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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.