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Finding the Fourth Proportional to 327,766,514.60, 491,649,771.90 and 327,766,514.60

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Solution

The fourth proportional to 327,766,514.60, 491,649,771.90 and 327,766,514.60 is: 491,649,771.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,766,514.60 : 491,649,771.90 = 327,766,514.60 : x
  2. Step 2: Convert to fraction form
    327,766,514.60/491,649,771.90 = 327,766,514.60/x
  3. Step 3: Cross multiply
    327,766,514.60x = 491,649,771.90 × 327,766,514.60
  4. Step 4: Simplify right side
    327,766,514.60x = 161,146,332,139,548,032
  5. Step 5: Solve for x
    x = 161,146,332,139,548,032/327,766,514.60
  6. Step 6: Final answer
    x = 491,649,771.90

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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.