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Finding the Fourth Proportional to 664,006,138.40, 994,217,617.20 and 664,006,138.40

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Solution

The fourth proportional to 664,006,138.40, 994,217,617.20 and 664,006,138.40 is: 994,217,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,006,138.40 : 994,217,617.20 = 664,006,138.40 : x
  2. Step 2: Convert to fraction form
    664,006,138.40/994,217,617.20 = 664,006,138.40/x
  3. Step 3: Cross multiply
    664,006,138.40x = 994,217,617.20 × 664,006,138.40
  4. Step 4: Simplify right side
    664,006,138.40x = 660,166,600,726,221,440
  5. Step 5: Solve for x
    x = 660,166,600,726,221,440/664,006,138.40
  6. Step 6: Final answer
    x = 994,217,617.20

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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.