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Finding the Fourth Proportional to 409,451,882.80, 614,177,824.20 and 133,102,562.80

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Solution

The fourth proportional to 409,451,882.80, 614,177,824.20 and 133,102,562.80 is: 199,653,844.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,451,882.80 : 614,177,824.20 = 133,102,562.80 : x
  2. Step 2: Convert to fraction form
    409,451,882.80/614,177,824.20 = 133,102,562.80/x
  3. Step 3: Cross multiply
    409,451,882.80x = 614,177,824.20 × 133,102,562.80
  4. Step 4: Simplify right side
    409,451,882.80x = 81,748,642,415,947,872
  5. Step 5: Solve for x
    x = 81,748,642,415,947,872/409,451,882.80
  6. Step 6: Final answer
    x = 199,653,844.20

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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.