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Finding the Fourth Proportional to 327,766,527.60, 491,649,791.40 and 254,587,101.90

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Solution

The fourth proportional to 327,766,527.60, 491,649,791.40 and 254,587,101.90 is: 381,880,652.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,766,527.60 : 491,649,791.40 = 254,587,101.90 : x
  2. Step 2: Convert to fraction form
    327,766,527.60/491,649,791.40 = 254,587,101.90/x
  3. Step 3: Cross multiply
    327,766,527.60x = 491,649,791.40 × 254,587,101.90
  4. Step 4: Simplify right side
    327,766,527.60x = 125,167,695,542,265,536
  5. Step 5: Solve for x
    x = 125,167,695,542,265,536/327,766,527.60
  6. Step 6: Final answer
    x = 381,880,652.85

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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.