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Finding the Fourth Proportional to 649,541,229.60, 974,311,844.40 and 511,791,722.40

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Solution

The fourth proportional to 649,541,229.60, 974,311,844.40 and 511,791,722.40 is: 767,687,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,541,229.60 : 974,311,844.40 = 511,791,722.40 : x
  2. Step 2: Convert to fraction form
    649,541,229.60/974,311,844.40 = 511,791,722.40/x
  3. Step 3: Cross multiply
    649,541,229.60x = 974,311,844.40 × 511,791,722.40
  4. Step 4: Simplify right side
    649,541,229.60x = 498,644,737,000,196,736
  5. Step 5: Solve for x
    x = 498,644,737,000,196,736/649,541,229.60
  6. Step 6: Final answer
    x = 767,687,583.60

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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.