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Finding the Fourth Proportional to 498,346,084.80, 747,512,128.80 and 225,716,414.40

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Solution

The fourth proportional to 498,346,084.80, 747,512,128.80 and 225,716,414.40 is: 338,571,451.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,346,084.80 : 747,512,128.80 = 225,716,414.40 : x
  2. Step 2: Convert to fraction form
    498,346,084.80/747,512,128.80 = 225,716,414.40/x
  3. Step 3: Cross multiply
    498,346,084.80x = 747,512,128.80 × 225,716,414.40
  4. Step 4: Simplify right side
    498,346,084.80x = 168,725,757,433,246,976
  5. Step 5: Solve for x
    x = 168,725,757,433,246,976/498,346,084.80
  6. Step 6: Final answer
    x = 338,571,451.81

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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.