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Finding the Fourth Proportional to 472,950,068.40, 652,978,201.68 and 423,304,468.56

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Solution

The fourth proportional to 472,950,068.40, 652,978,201.68 and 423,304,468.56 is: 584,435,036.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,950,068.40 : 652,978,201.68 = 423,304,468.56 : x
  2. Step 2: Convert to fraction form
    472,950,068.40/652,978,201.68 = 423,304,468.56/x
  3. Step 3: Cross multiply
    472,950,068.40x = 652,978,201.68 × 423,304,468.56
  4. Step 4: Simplify right side
    472,950,068.40x = 276,408,590,643,416,864
  5. Step 5: Solve for x
    x = 276,408,590,643,416,864/472,950,068.40
  6. Step 6: Final answer
    x = 584,435,036.83

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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.