Finding the Fourth Proportional to 2,791,744,412,329, 4,181,752,207,437.80 and 1,771,336,704,022.20
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Solution
The fourth proportional to 2,791,744,412,329, 4,181,752,207,437.80 and 1,771,336,704,022.20 is: 2,653,284,139,997.95
Step by Step Solution
- Step 1: Write the proportion equation
2,791,744,412,329 : 4,181,752,207,437.80 = 1,771,336,704,022.20 : x - Step 2: Convert to fraction form
2,791,744,412,329/4,181,752,207,437.80 = 1,771,336,704,022.20/x - Step 3: Cross multiply
2,791,744,412,329x = 4,181,752,207,437.80 × 1,771,336,704,022.20 - Step 4: Simplify right side
2,791,744,412,329x = 7,407,291,172,160,431,735,177,216 - Step 5: Solve for x
x = 7,407,291,172,160,431,735,177,216/2,791,744,412,329 - Step 6: Final answer
x = 2,653,284,139,997.95
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.