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Finding the Fourth Proportional to 819,282,321,000.68, 1,228,923,481,501 and 819,282,321,000.68

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Solution

The fourth proportional to 819,282,321,000.68, 1,228,923,481,501 and 819,282,321,000.68 is: 1,228,923,481,501

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,282,321,000.68 : 1,228,923,481,501 = 819,282,321,000.68 : x
  2. Step 2: Convert to fraction form
    819,282,321,000.68/1,228,923,481,501 = 819,282,321,000.68/x
  3. Step 3: Cross multiply
    819,282,321,000.68x = 1,228,923,481,501 × 819,282,321,000.68
  4. Step 4: Simplify right side
    819,282,321,000.68x = 1,006,835,282,256,375,614,275,584
  5. Step 5: Solve for x
    x = 1,006,835,282,256,375,614,275,584/819,282,321,000.68
  6. Step 6: Final answer
    x = 1,228,923,481,501

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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.