Finding the Fourth Proportional to 2,791,744,412,315, 4,181,752,207,416.80 and 1,771,336,704,008.20
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Solution
The fourth proportional to 2,791,744,412,315, 4,181,752,207,416.80 and 1,771,336,704,008.20 is: 2,653,284,139,976.96
Step by Step Solution
- Step 1: Write the proportion equation
2,791,744,412,315 : 4,181,752,207,416.80 = 1,771,336,704,008.20 : x - Step 2: Convert to fraction form
2,791,744,412,315/4,181,752,207,416.80 = 1,771,336,704,008.20/x - Step 3: Cross multiply
2,791,744,412,315x = 4,181,752,207,416.80 × 1,771,336,704,008.20 - Step 4: Simplify right side
2,791,744,412,315x = 7,407,291,172,064,688,324,214,784 - Step 5: Solve for x
x = 7,407,291,172,064,688,324,214,784/2,791,744,412,315 - Step 6: Final answer
x = 2,653,284,139,976.96
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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.