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Finding the Fourth Proportional to 869,034,228.68, 1,199,289,964.20 and 472,580,404.76

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Solution

The fourth proportional to 869,034,228.68, 1,199,289,964.20 and 472,580,404.76 is: 652,173,318.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,034,228.68 : 1,199,289,964.20 = 472,580,404.76 : x
  2. Step 2: Convert to fraction form
    869,034,228.68/1,199,289,964.20 = 472,580,404.76/x
  3. Step 3: Cross multiply
    869,034,228.68x = 1,199,289,964.20 × 472,580,404.76
  4. Step 4: Simplify right side
    869,034,228.68x = 566,760,936,706,241,920
  5. Step 5: Solve for x
    x = 566,760,936,706,241,920/869,034,228.68
  6. Step 6: Final answer
    x = 652,173,318.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.