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Finding the Fourth Proportional to 332,149,010.80, 498,223,516.20 and 332,149,010.80

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Solution

The fourth proportional to 332,149,010.80, 498,223,516.20 and 332,149,010.80 is: 498,223,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,149,010.80 : 498,223,516.20 = 332,149,010.80 : x
  2. Step 2: Convert to fraction form
    332,149,010.80/498,223,516.20 = 332,149,010.80/x
  3. Step 3: Cross multiply
    332,149,010.80x = 498,223,516.20 × 332,149,010.80
  4. Step 4: Simplify right side
    332,149,010.80x = 165,484,448,063,127,776
  5. Step 5: Solve for x
    x = 165,484,448,063,127,776/332,149,010.80
  6. Step 6: Final answer
    x = 498,223,516.20

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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.