Finding the Fourth Proportional to 814,293,998,711.20, 1,123,776,752,261.70 and 448,488,129,259.84
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Solution
The fourth proportional to 814,293,998,711.20, 1,123,776,752,261.70 and 448,488,129,259.84 is: 618,941,726,360.80
Step by Step Solution
- Step 1: Write the proportion equation
814,293,998,711.20 : 1,123,776,752,261.70 = 448,488,129,259.84 : x - Step 2: Convert to fraction form
814,293,998,711.20/1,123,776,752,261.70 = 448,488,129,259.84/x - Step 3: Cross multiply
814,293,998,711.20x = 1,123,776,752,261.70 × 448,488,129,259.84 - Step 4: Simplify right side
814,293,998,711.20x = 504,000,533,327,548,495,429,632 - Step 5: Solve for x
x = 504,000,533,327,548,495,429,632/814,293,998,711.20 - Step 6: Final answer
x = 618,941,726,360.80
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.