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Finding the Fourth Proportional to 472,950,069.15, 652,978,202.72 and 423,304,469.31

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Solution

The fourth proportional to 472,950,069.15, 652,978,202.72 and 423,304,469.31 is: 584,435,037.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,950,069.15 : 652,978,202.72 = 423,304,469.31 : x
  2. Step 2: Convert to fraction form
    472,950,069.15/652,978,202.72 = 423,304,469.31/x
  3. Step 3: Cross multiply
    472,950,069.15x = 652,978,202.72 × 423,304,469.31
  4. Step 4: Simplify right side
    472,950,069.15x = 276,408,591,571,270,688
  5. Step 5: Solve for x
    x = 276,408,591,571,270,688/472,950,069.15
  6. Step 6: Final answer
    x = 584,435,037.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.