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Finding the Fourth Proportional to 27,648,015.20, 41,472,022.82 and 27,648,015.20

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Solution

The fourth proportional to 27,648,015.20, 41,472,022.82 and 27,648,015.20 is: 41,472,022.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,648,015.20 : 41,472,022.82 = 27,648,015.20 : x
  2. Step 2: Convert to fraction form
    27,648,015.20/41,472,022.82 = 27,648,015.20/x
  3. Step 3: Cross multiply
    27,648,015.20x = 41,472,022.82 × 27,648,015.20
  4. Step 4: Simplify right side
    27,648,015.20x = 1,146,619,117,302,106.75
  5. Step 5: Solve for x
    x = 1,146,619,117,302,106.75/27,648,015.20
  6. Step 6: Final answer
    x = 41,472,022.82

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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.