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Finding the Fourth Proportional to 472,392,469.80, 708,588,704.70 and 469,522,688.40

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Solution

The fourth proportional to 472,392,469.80, 708,588,704.70 and 469,522,688.40 is: 704,284,032.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,469.80 : 708,588,704.70 = 469,522,688.40 : x
  2. Step 2: Convert to fraction form
    472,392,469.80/708,588,704.70 = 469,522,688.40/x
  3. Step 3: Cross multiply
    472,392,469.80x = 708,588,704.70 × 469,522,688.40
  4. Step 4: Simplify right side
    472,392,469.80x = 332,698,473,600,617,728
  5. Step 5: Solve for x
    x = 332,698,473,600,617,728/472,392,469.80
  6. Step 6: Final answer
    x = 704,284,032.60

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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.