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Finding the Fourth Proportional to 268,272,402.30, 402,408,603.45 and 268,272,402.30

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Solution

The fourth proportional to 268,272,402.30, 402,408,603.45 and 268,272,402.30 is: 402,408,603.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,272,402.30 : 402,408,603.45 = 268,272,402.30 : x
  2. Step 2: Convert to fraction form
    268,272,402.30/402,408,603.45 = 268,272,402.30/x
  3. Step 3: Cross multiply
    268,272,402.30x = 402,408,603.45 × 268,272,402.30
  4. Step 4: Simplify right side
    268,272,402.30x = 107,955,122,753,719,568
  5. Step 5: Solve for x
    x = 107,955,122,753,719,568/268,272,402.30
  6. Step 6: Final answer
    x = 402,408,603.45

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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.