Finding the Fourth Proportional to 1,563,177,287,250.70, 2,344,900,998,911.80 and 431,252,660,586.96
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Solution
The fourth proportional to 1,563,177,287,250.70, 2,344,900,998,911.80 and 431,252,660,586.96 is: 646,916,253,736.20
Step by Step Solution
- Step 1: Write the proportion equation
1,563,177,287,250.70 : 2,344,900,998,911.80 = 431,252,660,586.96 : x - Step 2: Convert to fraction form
1,563,177,287,250.70/2,344,900,998,911.80 = 431,252,660,586.96/x - Step 3: Cross multiply
1,563,177,287,250.70x = 2,344,900,998,911.80 × 431,252,660,586.96 - Step 4: Simplify right side
1,563,177,287,250.70x = 1,011,244,794,593,733,915,967,488 - Step 5: Solve for x
x = 1,011,244,794,593,733,915,967,488/1,563,177,287,250.70 - Step 6: Final answer
x = 646,916,253,736.20
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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.