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Finding the Fourth Proportional to 664,279,942.46, 996,419,913.68 and 664,279,942.46

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Solution

The fourth proportional to 664,279,942.46, 996,419,913.68 and 664,279,942.46 is: 996,419,913.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,279,942.46 : 996,419,913.68 = 664,279,942.46 : x
  2. Step 2: Convert to fraction form
    664,279,942.46/996,419,913.68 = 664,279,942.46/x
  3. Step 3: Cross multiply
    664,279,942.46x = 996,419,913.68 × 664,279,942.46
  4. Step 4: Simplify right side
    664,279,942.46x = 661,901,762,925,348,608
  5. Step 5: Solve for x
    x = 661,901,762,925,348,608/664,279,942.46
  6. Step 6: Final answer
    x = 996,419,913.68

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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.