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Finding the Fourth Proportional to 110,667,695.40, 165,702,944.70 and 110,667,695.40

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Solution

The fourth proportional to 110,667,695.40, 165,702,944.70 and 110,667,695.40 is: 165,702,944.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,667,695.40 : 165,702,944.70 = 110,667,695.40 : x
  2. Step 2: Convert to fraction form
    110,667,695.40/165,702,944.70 = 110,667,695.40/x
  3. Step 3: Cross multiply
    110,667,695.40x = 165,702,944.70 × 110,667,695.40
  4. Step 4: Simplify right side
    110,667,695.40x = 18,337,963,010,942,644
  5. Step 5: Solve for x
    x = 18,337,963,010,942,644/110,667,695.40
  6. Step 6: Final answer
    x = 165,702,944.70

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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.