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Finding the Fourth Proportional to 327,348,052.60, 491,022,078.90 and 327,348,052.60

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Solution

The fourth proportional to 327,348,052.60, 491,022,078.90 and 327,348,052.60 is: 491,022,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,348,052.60 : 491,022,078.90 = 327,348,052.60 : x
  2. Step 2: Convert to fraction form
    327,348,052.60/491,022,078.90 = 327,348,052.60/x
  3. Step 3: Cross multiply
    327,348,052.60x = 491,022,078.90 × 327,348,052.60
  4. Step 4: Simplify right side
    327,348,052.60x = 160,735,121,311,518,560
  5. Step 5: Solve for x
    x = 160,735,121,311,518,560/327,348,052.60
  6. Step 6: Final answer
    x = 491,022,078.90

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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.