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Finding the Fourth Proportional to 689,654,329.90, 1,034,481,494.85 and 689,654,329.90

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Solution

The fourth proportional to 689,654,329.90, 1,034,481,494.85 and 689,654,329.90 is: 1,034,481,494.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,654,329.90 : 1,034,481,494.85 = 689,654,329.90 : x
  2. Step 2: Convert to fraction form
    689,654,329.90/1,034,481,494.85 = 689,654,329.90/x
  3. Step 3: Cross multiply
    689,654,329.90x = 1,034,481,494.85 × 689,654,329.90
  4. Step 4: Simplify right side
    689,654,329.90x = 713,434,642,124,727,040
  5. Step 5: Solve for x
    x = 713,434,642,124,727,040/689,654,329.90
  6. Step 6: Final answer
    x = 1,034,481,494.85

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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.