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Finding the Fourth Proportional to 664,704,013.70, 997,056,020.55 and 664,704,013.70

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Solution

The fourth proportional to 664,704,013.70, 997,056,020.55 and 664,704,013.70 is: 997,056,020.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,704,013.70 : 997,056,020.55 = 664,704,013.70 : x
  2. Step 2: Convert to fraction form
    664,704,013.70/997,056,020.55 = 664,704,013.70/x
  3. Step 3: Cross multiply
    664,704,013.70x = 997,056,020.55 × 664,704,013.70
  4. Step 4: Simplify right side
    664,704,013.70x = 662,747,138,743,334,656
  5. Step 5: Solve for x
    x = 662,747,138,743,334,656/664,704,013.70
  6. Step 6: Final answer
    x = 997,056,020.55

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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.