Finding the Fourth Proportional to 2,791,744,412,330, 4,181,752,207,439.30 and 1,771,336,704,023.20
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Solution
The fourth proportional to 2,791,744,412,330, 4,181,752,207,439.30 and 1,771,336,704,023.20 is: 2,653,284,139,999.45
Step by Step Solution
- Step 1: Write the proportion equation
2,791,744,412,330 : 4,181,752,207,439.30 = 1,771,336,704,023.20 : x - Step 2: Convert to fraction form
2,791,744,412,330/4,181,752,207,439.30 = 1,771,336,704,023.20/x - Step 3: Cross multiply
2,791,744,412,330x = 4,181,752,207,439.30 × 1,771,336,704,023.20 - Step 4: Simplify right side
2,791,744,412,330x = 7,407,291,172,167,270,396,854,272 - Step 5: Solve for x
x = 7,407,291,172,167,270,396,854,272/2,791,744,412,330 - Step 6: Final answer
x = 2,653,284,139,999.45
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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.