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Finding the Fourth Proportional to 299,615,832.80, 449,423,749.20 and 231,591,384.80

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Solution

The fourth proportional to 299,615,832.80, 449,423,749.20 and 231,591,384.80 is: 347,387,077.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,615,832.80 : 449,423,749.20 = 231,591,384.80 : x
  2. Step 2: Convert to fraction form
    299,615,832.80/449,423,749.20 = 231,591,384.80/x
  3. Step 3: Cross multiply
    299,615,832.80x = 449,423,749.20 × 231,591,384.80
  4. Step 4: Simplify right side
    299,615,832.80x = 104,082,668,439,235,888
  5. Step 5: Solve for x
    x = 104,082,668,439,235,888/299,615,832.80
  6. Step 6: Final answer
    x = 347,387,077.20

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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.