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Finding the Fourth Proportional to 133,488,023.10, 200,232,034.65 and 133,488,023.10

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Solution

The fourth proportional to 133,488,023.10, 200,232,034.65 and 133,488,023.10 is: 200,232,034.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,488,023.10 : 200,232,034.65 = 133,488,023.10 : x
  2. Step 2: Convert to fraction form
    133,488,023.10/200,232,034.65 = 133,488,023.10/x
  3. Step 3: Cross multiply
    133,488,023.10x = 200,232,034.65 × 133,488,023.10
  4. Step 4: Simplify right side
    133,488,023.10x = 26,728,578,466,719,200
  5. Step 5: Solve for x
    x = 26,728,578,466,719,200/133,488,023.10
  6. Step 6: Final answer
    x = 200,232,034.65

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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.