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Finding the Fourth Proportional to 31,502,361,694.80, 47,253,542,542.20 and 31,502,361,694.80

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Solution

The fourth proportional to 31,502,361,694.80, 47,253,542,542.20 and 31,502,361,694.80 is: 47,253,542,542.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502,361,694.80 : 47,253,542,542.20 = 31,502,361,694.80 : x
  2. Step 2: Convert to fraction form
    31,502,361,694.80/47,253,542,542.20 = 31,502,361,694.80/x
  3. Step 3: Cross multiply
    31,502,361,694.80x = 47,253,542,542.20 × 31,502,361,694.80
  4. Step 4: Simplify right side
    31,502,361,694.80x = 1,488,598,188,525,003,472,896
  5. Step 5: Solve for x
    x = 1,488,598,188,525,003,472,896/31,502,361,694.80
  6. Step 6: Final answer
    x = 47,253,542,542.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.