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Finding the Fourth Proportional to 472,392,529.80, 708,588,794.70 and 469,522,748.40

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Solution

The fourth proportional to 472,392,529.80, 708,588,794.70 and 469,522,748.40 is: 704,284,122.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,529.80 : 708,588,794.70 = 469,522,748.40 : x
  2. Step 2: Convert to fraction form
    472,392,529.80/708,588,794.70 = 469,522,748.40/x
  3. Step 3: Cross multiply
    472,392,529.80x = 708,588,794.70 × 469,522,748.40
  4. Step 4: Simplify right side
    472,392,529.80x = 332,698,558,372,987,328
  5. Step 5: Solve for x
    x = 332,698,558,372,987,328/472,392,529.80
  6. Step 6: Final answer
    x = 704,284,122.60

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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.