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Finding the Fourth Proportional to 10,891,805.70, 16,337,708.55 and 10,891,805.70

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Solution

The fourth proportional to 10,891,805.70, 16,337,708.55 and 10,891,805.70 is: 16,337,708.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,891,805.70 : 16,337,708.55 = 10,891,805.70 : x
  2. Step 2: Convert to fraction form
    10,891,805.70/16,337,708.55 = 10,891,805.70/x
  3. Step 3: Cross multiply
    10,891,805.70x = 16,337,708.55 × 10,891,805.70
  4. Step 4: Simplify right side
    10,891,805.70x = 177,947,147,109,828.72
  5. Step 5: Solve for x
    x = 177,947,147,109,828.72/10,891,805.70
  6. Step 6: Final answer
    x = 16,337,708.55

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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.