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Finding the Fourth Proportional to 392,448,881.20, 588,673,321.80 and 133,578,065.20

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Solution

The fourth proportional to 392,448,881.20, 588,673,321.80 and 133,578,065.20 is: 200,367,097.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,448,881.20 : 588,673,321.80 = 133,578,065.20 : x
  2. Step 2: Convert to fraction form
    392,448,881.20/588,673,321.80 = 133,578,065.20/x
  3. Step 3: Cross multiply
    392,448,881.20x = 588,673,321.80 × 133,578,065.20
  4. Step 4: Simplify right side
    392,448,881.20x = 78,633,843,360,900,976
  5. Step 5: Solve for x
    x = 78,633,843,360,900,976/392,448,881.20
  6. Step 6: Final answer
    x = 200,367,097.80

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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.