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Finding the Fourth Proportional to 27,229,014.30, 38,216,279.40 and 27,229,014.30

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Solution

The fourth proportional to 27,229,014.30, 38,216,279.40 and 27,229,014.30 is: 38,216,279.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,229,014.30 : 38,216,279.40 = 27,229,014.30 : x
  2. Step 2: Convert to fraction form
    27,229,014.30/38,216,279.40 = 27,229,014.30/x
  3. Step 3: Cross multiply
    27,229,014.30x = 38,216,279.40 × 27,229,014.30
  4. Step 4: Simplify right side
    27,229,014.30x = 1,040,591,618,275,395.38
  5. Step 5: Solve for x
    x = 1,040,591,618,275,395.38/27,229,014.30
  6. Step 6: Final answer
    x = 38,216,279.40

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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.