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Finding the Fourth Proportional to 234,881,431.20, 352,322,146.80 and 234,881,431.20

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Solution

The fourth proportional to 234,881,431.20, 352,322,146.80 and 234,881,431.20 is: 352,322,146.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,881,431.20 : 352,322,146.80 = 234,881,431.20 : x
  2. Step 2: Convert to fraction form
    234,881,431.20/352,322,146.80 = 234,881,431.20/x
  3. Step 3: Cross multiply
    234,881,431.20x = 352,322,146.80 × 234,881,431.20
  4. Step 4: Simplify right side
    234,881,431.20x = 82,753,930,083,840,496
  5. Step 5: Solve for x
    x = 82,753,930,083,840,496/234,881,431.20
  6. Step 6: Final answer
    x = 352,322,146.80

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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.