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Finding the Fourth Proportional to 512,419,062.40, 768,728,126.40 and 221,285,622.40

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Solution

The fourth proportional to 512,419,062.40, 768,728,126.40 and 221,285,622.40 is: 331,971,416.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,419,062.40 : 768,728,126.40 = 221,285,622.40 : x
  2. Step 2: Convert to fraction form
    512,419,062.40/768,728,126.40 = 221,285,622.40/x
  3. Step 3: Cross multiply
    512,419,062.40x = 768,728,126.40 × 221,285,622.40
  4. Step 4: Simplify right side
    512,419,062.40x = 170,108,481,906,809,856
  5. Step 5: Solve for x
    x = 170,108,481,906,809,856/512,419,062.40
  6. Step 6: Final answer
    x = 331,971,416.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.