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Finding the Fourth Proportional to 393,405,959.20, 590,108,938.80 and 278,520,224.80

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Solution

The fourth proportional to 393,405,959.20, 590,108,938.80 and 278,520,224.80 is: 417,780,337.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,405,959.20 : 590,108,938.80 = 278,520,224.80 : x
  2. Step 2: Convert to fraction form
    393,405,959.20/590,108,938.80 = 278,520,224.80/x
  3. Step 3: Cross multiply
    393,405,959.20x = 590,108,938.80 × 278,520,224.80
  4. Step 4: Simplify right side
    393,405,959.20x = 164,357,274,291,065,440
  5. Step 5: Solve for x
    x = 164,357,274,291,065,440/393,405,959.20
  6. Step 6: Final answer
    x = 417,780,337.20

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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.