Finding the Fourth Proportional to 814,293,998,708.26, 1,123,776,752,257.60 and 448,488,129,256.84
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Solution
The fourth proportional to 814,293,998,708.26, 1,123,776,752,257.60 and 448,488,129,256.84 is: 618,941,726,356.64
Step by Step Solution
- Step 1: Write the proportion equation
814,293,998,708.26 : 1,123,776,752,257.60 = 448,488,129,256.84 : x - Step 2: Convert to fraction form
814,293,998,708.26/1,123,776,752,257.60 = 448,488,129,256.84/x - Step 3: Cross multiply
814,293,998,708.26x = 1,123,776,752,257.60 × 448,488,129,256.84 - Step 4: Simplify right side
814,293,998,708.26x = 504,000,533,322,338,431,664,128 - Step 5: Solve for x
x = 504,000,533,322,338,431,664,128/814,293,998,708.26 - Step 6: Final answer
x = 618,941,726,356.64
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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.