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Finding the Fourth Proportional to 472,571,566.80, 708,857,350.20 and 127,524,640.20

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Solution

The fourth proportional to 472,571,566.80, 708,857,350.20 and 127,524,640.20 is: 191,286,960.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,571,566.80 : 708,857,350.20 = 127,524,640.20 : x
  2. Step 2: Convert to fraction form
    472,571,566.80/708,857,350.20 = 127,524,640.20/x
  3. Step 3: Cross multiply
    472,571,566.80x = 708,857,350.20 × 127,524,640.20
  4. Step 4: Simplify right side
    472,571,566.80x = 90,396,778,537,380,400
  5. Step 5: Solve for x
    x = 90,396,778,537,380,400/472,571,566.80
  6. Step 6: Final answer
    x = 191,286,960.30

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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.