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Finding the Fourth Proportional to 327,766,511.60, 491,649,767.40 and 327,766,511.60

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Solution

The fourth proportional to 327,766,511.60, 491,649,767.40 and 327,766,511.60 is: 491,649,767.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,766,511.60 : 491,649,767.40 = 327,766,511.60 : x
  2. Step 2: Convert to fraction form
    327,766,511.60/491,649,767.40 = 327,766,511.60/x
  3. Step 3: Cross multiply
    327,766,511.60x = 491,649,767.40 × 327,766,511.60
  4. Step 4: Simplify right side
    327,766,511.60x = 161,146,329,189,649,408
  5. Step 5: Solve for x
    x = 161,146,329,189,649,408/327,766,511.60
  6. Step 6: Final answer
    x = 491,649,767.40

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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.