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Finding the Fourth Proportional to 106,291,205.40, 159,184,865.70 and 106,291,205.40

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Solution

The fourth proportional to 106,291,205.40, 159,184,865.70 and 106,291,205.40 is: 159,184,865.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,291,205.40 : 159,184,865.70 = 106,291,205.40 : x
  2. Step 2: Convert to fraction form
    106,291,205.40/159,184,865.70 = 106,291,205.40/x
  3. Step 3: Cross multiply
    106,291,205.40x = 159,184,865.70 × 106,291,205.40
  4. Step 4: Simplify right side
    106,291,205.40x = 16,919,951,256,690,114
  5. Step 5: Solve for x
    x = 16,919,951,256,690,114/106,291,205.40
  6. Step 6: Final answer
    x = 159,184,865.70

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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.