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Finding the Fourth Proportional to 15,765,309.10, 23,647,963.65 and 15,765,309.10

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Solution

The fourth proportional to 15,765,309.10, 23,647,963.65 and 15,765,309.10 is: 23,647,963.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,765,309.10 : 23,647,963.65 = 15,765,309.10 : x
  2. Step 2: Convert to fraction form
    15,765,309.10/23,647,963.65 = 15,765,309.10/x
  3. Step 3: Cross multiply
    15,765,309.10x = 23,647,963.65 × 15,765,309.10
  4. Step 4: Simplify right side
    15,765,309.10x = 372,817,456,527,814.19
  5. Step 5: Solve for x
    x = 372,817,456,527,814.19/15,765,309.10
  6. Step 6: Final answer
    x = 23,647,963.65

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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.