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Finding the Fourth Proportional to 327,769,358.10, 491,654,037.15 and 327,769,358.10

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Solution

The fourth proportional to 327,769,358.10, 491,654,037.15 and 327,769,358.10 is: 491,654,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,769,358.10 : 491,654,037.15 = 327,769,358.10 : x
  2. Step 2: Convert to fraction form
    327,769,358.10/491,654,037.15 = 327,769,358.10/x
  3. Step 3: Cross multiply
    327,769,358.10x = 491,654,037.15 × 327,769,358.10
  4. Step 4: Simplify right side
    327,769,358.10x = 161,149,128,163,929,056
  5. Step 5: Solve for x
    x = 161,149,128,163,929,056/327,769,358.10
  6. Step 6: Final answer
    x = 491,654,037.15

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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.