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Finding the Fourth Proportional to 664,394,881.20, 996,592,321.80 and 664,394,881.20

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Solution

The fourth proportional to 664,394,881.20, 996,592,321.80 and 664,394,881.20 is: 996,592,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,394,881.20 : 996,592,321.80 = 664,394,881.20 : x
  2. Step 2: Convert to fraction form
    664,394,881.20/996,592,321.80 = 664,394,881.20/x
  3. Step 3: Cross multiply
    664,394,881.20x = 996,592,321.80 × 664,394,881.20
  4. Step 4: Simplify right side
    664,394,881.20x = 662,130,837,247,143,168
  5. Step 5: Solve for x
    x = 662,130,837,247,143,168/664,394,881.20
  6. Step 6: Final answer
    x = 996,592,321.80

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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.