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Finding the Fourth Proportional to 165,920,715.90, 231,858,535.05 and 165,920,715.90

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Solution

The fourth proportional to 165,920,715.90, 231,858,535.05 and 165,920,715.90 is: 231,858,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,920,715.90 : 231,858,535.05 = 165,920,715.90 : x
  2. Step 2: Convert to fraction form
    165,920,715.90/231,858,535.05 = 165,920,715.90/x
  3. Step 3: Cross multiply
    165,920,715.90x = 231,858,535.05 × 165,920,715.90
  4. Step 4: Simplify right side
    165,920,715.90x = 38,470,134,123,021,248
  5. Step 5: Solve for x
    x = 38,470,134,123,021,248/165,920,715.90
  6. Step 6: Final answer
    x = 231,858,535.05

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.