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Finding the Fourth Proportional to 469,693,996.52, 704,536,508.69 and 285,512,325.12

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Solution

The fourth proportional to 469,693,996.52, 704,536,508.69 and 285,512,325.12 is: 428,265,760.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,693,996.52 : 704,536,508.69 = 285,512,325.12 : x
  2. Step 2: Convert to fraction form
    469,693,996.52/704,536,508.69 = 285,512,325.12/x
  3. Step 3: Cross multiply
    469,693,996.52x = 704,536,508.69 × 285,512,325.12
  4. Step 4: Simplify right side
    469,693,996.52x = 201,153,856,727,654,976
  5. Step 5: Solve for x
    x = 201,153,856,727,654,976/469,693,996.52
  6. Step 6: Final answer
    x = 428,265,760.73

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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.