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Finding the Fourth Proportional to 22,424,823.15, 31,416,010.05 and 22,424,823.15

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Solution

The fourth proportional to 22,424,823.15, 31,416,010.05 and 22,424,823.15 is: 31,416,010.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,424,823.15 : 31,416,010.05 = 22,424,823.15 : x
  2. Step 2: Convert to fraction form
    22,424,823.15/31,416,010.05 = 22,424,823.15/x
  3. Step 3: Cross multiply
    22,424,823.15x = 31,416,010.05 × 22,424,823.15
  4. Step 4: Simplify right side
    22,424,823.15x = 704,498,469,449,872.62
  5. Step 5: Solve for x
    x = 704,498,469,449,872.62/22,424,823.15
  6. Step 6: Final answer
    x = 31,416,010.05

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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.