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Finding the Fourth Proportional to 441,664,005.70, 662,496,008.55 and 441,664,005.70

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Solution

The fourth proportional to 441,664,005.70, 662,496,008.55 and 441,664,005.70 is: 662,496,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,664,005.70 : 662,496,008.55 = 441,664,005.70 : x
  2. Step 2: Convert to fraction form
    441,664,005.70/662,496,008.55 = 441,664,005.70/x
  3. Step 3: Cross multiply
    441,664,005.70x = 662,496,008.55 × 441,664,005.70
  4. Step 4: Simplify right side
    441,664,005.70x = 292,600,640,896,454,400
  5. Step 5: Solve for x
    x = 292,600,640,896,454,400/441,664,005.70
  6. Step 6: Final answer
    x = 662,496,008.55

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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.