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Finding the Fourth Proportional to 11,700,838.30, 17,519,764.65 and 11,700,838.30

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Solution

The fourth proportional to 11,700,838.30, 17,519,764.65 and 11,700,838.30 is: 17,519,764.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,700,838.30 : 17,519,764.65 = 11,700,838.30 : x
  2. Step 2: Convert to fraction form
    11,700,838.30/17,519,764.65 = 11,700,838.30/x
  3. Step 3: Cross multiply
    11,700,838.30x = 17,519,764.65 × 11,700,838.30
  4. Step 4: Simplify right side
    11,700,838.30x = 204,995,933,223,706.09
  5. Step 5: Solve for x
    x = 204,995,933,223,706.09/11,700,838.30
  6. Step 6: Final answer
    x = 17,519,764.65

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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.