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Finding the Fourth Proportional to 332,149,010.30, 498,223,515.45 and 332,149,010.30

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Solution

The fourth proportional to 332,149,010.30, 498,223,515.45 and 332,149,010.30 is: 498,223,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,149,010.30 : 498,223,515.45 = 332,149,010.30 : x
  2. Step 2: Convert to fraction form
    332,149,010.30/498,223,515.45 = 332,149,010.30/x
  3. Step 3: Cross multiply
    332,149,010.30x = 498,223,515.45 × 332,149,010.30
  4. Step 4: Simplify right side
    332,149,010.30x = 165,484,447,564,904,256
  5. Step 5: Solve for x
    x = 165,484,447,564,904,256/332,149,010.30
  6. Step 6: Final answer
    x = 498,223,515.45

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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.