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Finding the Fourth Proportional to 10,338,713.10, 15,508,069.65 and 10,338,713.10

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Solution

The fourth proportional to 10,338,713.10, 15,508,069.65 and 10,338,713.10 is: 15,508,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,338,713.10 : 15,508,069.65 = 10,338,713.10 : x
  2. Step 2: Convert to fraction form
    10,338,713.10/15,508,069.65 = 10,338,713.10/x
  3. Step 3: Cross multiply
    10,338,713.10x = 15,508,069.65 × 10,338,713.10
  4. Step 4: Simplify right side
    10,338,713.10x = 160,333,482,846,167.41
  5. Step 5: Solve for x
    x = 160,333,482,846,167.41/10,338,713.10
  6. Step 6: Final answer
    x = 15,508,069.65

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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.