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Finding the Fourth Proportional to 543,375,722.80, 815,063,584.20 and 543,375,722.80

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Solution

The fourth proportional to 543,375,722.80, 815,063,584.20 and 543,375,722.80 is: 815,063,584.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,375,722.80 : 815,063,584.20 = 543,375,722.80 : x
  2. Step 2: Convert to fraction form
    543,375,722.80/815,063,584.20 = 543,375,722.80/x
  3. Step 3: Cross multiply
    543,375,722.80x = 815,063,584.20 × 543,375,722.80
  4. Step 4: Simplify right side
    543,375,722.80x = 442,885,764,192,633,664
  5. Step 5: Solve for x
    x = 442,885,764,192,633,664/543,375,722.80
  6. Step 6: Final answer
    x = 815,063,584.20

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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.