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Finding the Fourth Proportional to 408,253,276.80, 612,379,915.20 and 149,382,460.80

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Solution

The fourth proportional to 408,253,276.80, 612,379,915.20 and 149,382,460.80 is: 224,073,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,253,276.80 : 612,379,915.20 = 149,382,460.80 : x
  2. Step 2: Convert to fraction form
    408,253,276.80/612,379,915.20 = 149,382,460.80/x
  3. Step 3: Cross multiply
    408,253,276.80x = 612,379,915.20 × 149,382,460.80
  4. Step 4: Simplify right side
    408,253,276.80x = 91,478,818,677,071,344
  5. Step 5: Solve for x
    x = 91,478,818,677,071,344/408,253,276.80
  6. Step 6: Final answer
    x = 224,073,691.20

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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.