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Finding the Fourth Proportional to 27,229,505.93, 38,216,967.68 and 27,229,505.93

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Solution

The fourth proportional to 27,229,505.93, 38,216,967.68 and 27,229,505.93 is: 38,216,967.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,229,505.93 : 38,216,967.68 = 27,229,505.93 : x
  2. Step 2: Convert to fraction form
    27,229,505.93/38,216,967.68 = 27,229,505.93/x
  3. Step 3: Cross multiply
    27,229,505.93x = 38,216,967.68 × 27,229,505.93
  4. Step 4: Simplify right side
    27,229,505.93x = 1,040,629,147,741,945.88
  5. Step 5: Solve for x
    x = 1,040,629,147,741,945.88/27,229,505.93
  6. Step 6: Final answer
    x = 38,216,967.68

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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.