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Finding the Fourth Proportional to 398,639,100.30, 597,958,650.45 and 360,375,348.30

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Solution

The fourth proportional to 398,639,100.30, 597,958,650.45 and 360,375,348.30 is: 540,563,022.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,639,100.30 : 597,958,650.45 = 360,375,348.30 : x
  2. Step 2: Convert to fraction form
    398,639,100.30/597,958,650.45 = 360,375,348.30/x
  3. Step 3: Cross multiply
    398,639,100.30x = 597,958,650.45 × 360,375,348.30
  4. Step 4: Simplify right side
    398,639,100.30x = 215,489,556,924,916,736
  5. Step 5: Solve for x
    x = 215,489,556,924,916,736/398,639,100.30
  6. Step 6: Final answer
    x = 540,563,022.45

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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.