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Finding the Fourth Proportional to 394,340,238.54, 541,339,867.02 and 338,488,695.88

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Solution

The fourth proportional to 394,340,238.54, 541,339,867.02 and 338,488,695.88 is: 464,668,344.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,340,238.54 : 541,339,867.02 = 338,488,695.88 : x
  2. Step 2: Convert to fraction form
    394,340,238.54/541,339,867.02 = 338,488,695.88/x
  3. Step 3: Cross multiply
    394,340,238.54x = 541,339,867.02 × 338,488,695.88
  4. Step 4: Simplify right side
    394,340,238.54x = 183,237,425,615,452,416
  5. Step 5: Solve for x
    x = 183,237,425,615,452,416/394,340,238.54
  6. Step 6: Final answer
    x = 464,668,344.00

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.