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Finding the Fourth Proportional to 398,646,834.40, 597,970,251.60 and 395,959,448.80

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Solution

The fourth proportional to 398,646,834.40, 597,970,251.60 and 395,959,448.80 is: 593,939,173.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,646,834.40 : 597,970,251.60 = 395,959,448.80 : x
  2. Step 2: Convert to fraction form
    398,646,834.40/597,970,251.60 = 395,959,448.80/x
  3. Step 3: Cross multiply
    398,646,834.40x = 597,970,251.60 × 395,959,448.80
  4. Step 4: Simplify right side
    398,646,834.40x = 236,771,971,222,333,344
  5. Step 5: Solve for x
    x = 236,771,971,222,333,344/398,646,834.40
  6. Step 6: Final answer
    x = 593,939,173.20

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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.