Finding the Fourth Proportional to 1,563,177,287,254.70, 2,344,900,998,917.80 and 431,252,660,590.96
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Solution
The fourth proportional to 1,563,177,287,254.70, 2,344,900,998,917.80 and 431,252,660,590.96 is: 646,916,253,742.20
Step by Step Solution
- Step 1: Write the proportion equation
1,563,177,287,254.70 : 2,344,900,998,917.80 = 431,252,660,590.96 : x - Step 2: Convert to fraction form
1,563,177,287,254.70/2,344,900,998,917.80 = 431,252,660,590.96/x - Step 3: Cross multiply
1,563,177,287,254.70x = 2,344,900,998,917.80 × 431,252,660,590.96 - Step 4: Simplify right side
1,563,177,287,254.70x = 1,011,244,794,605,701,037,031,424 - Step 5: Solve for x
x = 1,011,244,794,605,701,037,031,424/1,563,177,287,254.70 - Step 6: Final answer
x = 646,916,253,742.20
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.