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Finding the Fourth Proportional to 307,846,209.88, 461,769,197.12 and 123,613,630.68

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Solution

The fourth proportional to 307,846,209.88, 461,769,197.12 and 123,613,630.68 is: 185,420,398.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,846,209.88 : 461,769,197.12 = 123,613,630.68 : x
  2. Step 2: Convert to fraction form
    307,846,209.88/461,769,197.12 = 123,613,630.68/x
  3. Step 3: Cross multiply
    307,846,209.88x = 461,769,197.12 × 123,613,630.68
  4. Step 4: Simplify right side
    307,846,209.88x = 57,080,966,992,191,800
  5. Step 5: Solve for x
    x = 57,080,966,992,191,800/307,846,209.88
  6. Step 6: Final answer
    x = 185,420,398.76

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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.