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Finding the Fourth Proportional to 307,864,548.88, 461,739,086.52 and 154,469,418.64

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Solution

The fourth proportional to 307,864,548.88, 461,739,086.52 and 154,469,418.64 is: 231,675,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,864,548.88 : 461,739,086.52 = 154,469,418.64 : x
  2. Step 2: Convert to fraction form
    307,864,548.88/461,739,086.52 = 154,469,418.64/x
  3. Step 3: Cross multiply
    307,864,548.88x = 461,739,086.52 × 154,469,418.64
  4. Step 4: Simplify right side
    307,864,548.88x = 71,324,568,258,109,048
  5. Step 5: Solve for x
    x = 71,324,568,258,109,048/307,864,548.88
  6. Step 6: Final answer
    x = 231,675,158.82

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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.