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Finding the Fourth Proportional to 800,341,489.60, 1,200,512,234.40 and 664,292,593.60

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Solution

The fourth proportional to 800,341,489.60, 1,200,512,234.40 and 664,292,593.60 is: 996,438,890.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,341,489.60 : 1,200,512,234.40 = 664,292,593.60 : x
  2. Step 2: Convert to fraction form
    800,341,489.60/1,200,512,234.40 = 664,292,593.60/x
  3. Step 3: Cross multiply
    800,341,489.60x = 1,200,512,234.40 × 664,292,593.60
  4. Step 4: Simplify right side
    800,341,489.60x = 797,491,385,838,107,264
  5. Step 5: Solve for x
    x = 797,491,385,838,107,264/800,341,489.60
  6. Step 6: Final answer
    x = 996,438,890.40

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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.