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Finding the Fourth Proportional to 327,560,250,438.78, 491,340,375,658.17 and 327,560,250,438.78

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Solution

The fourth proportional to 327,560,250,438.78, 491,340,375,658.17 and 327,560,250,438.78 is: 491,340,375,658.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    327,560,250,438.78 : 491,340,375,658.17 = 327,560,250,438.78 : x
  2. Step 2: Convert to fraction form
    327,560,250,438.78/491,340,375,658.17 = 327,560,250,438.78/x
  3. Step 3: Cross multiply
    327,560,250,438.78x = 491,340,375,658.17 × 327,560,250,438.78
  4. Step 4: Simplify right side
    327,560,250,438.78x = 160,943,576,501,274,424,639,488
  5. Step 5: Solve for x
    x = 160,943,576,501,274,424,639,488/327,560,250,438.78
  6. Step 6: Final answer
    x = 491,340,375,658.17

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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.