Finding the Fourth Proportional to 2,791,744,412,319, 4,181,752,207,422.70 and 1,771,336,704,012.20
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Solution
The fourth proportional to 2,791,744,412,319, 4,181,752,207,422.70 and 1,771,336,704,012.20 is: 2,653,284,139,982.89
Step by Step Solution
- Step 1: Write the proportion equation
2,791,744,412,319 : 4,181,752,207,422.70 = 1,771,336,704,012.20 : x - Step 2: Convert to fraction form
2,791,744,412,319/4,181,752,207,422.70 = 1,771,336,704,012.20/x - Step 3: Cross multiply
2,791,744,412,319x = 4,181,752,207,422.70 × 1,771,336,704,012.20 - Step 4: Simplify right side
2,791,744,412,319x = 7,407,291,172,091,866,877,263,872 - Step 5: Solve for x
x = 7,407,291,172,091,866,877,263,872/2,791,744,412,319 - Step 6: Final answer
x = 2,653,284,139,982.89
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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.