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Finding the Fourth Proportional to 1,200,470,562.29, 1,656,649,375.97 and 651,049,506.29

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Solution

The fourth proportional to 1,200,470,562.29, 1,656,649,375.97 and 651,049,506.29 is: 898,448,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200,470,562.29 : 1,656,649,375.97 = 651,049,506.29 : x
  2. Step 2: Convert to fraction form
    1,200,470,562.29/1,656,649,375.97 = 651,049,506.29/x
  3. Step 3: Cross multiply
    1,200,470,562.29x = 1,656,649,375.97 × 651,049,506.29
  4. Step 4: Simplify right side
    1,200,470,562.29x = 1,078,560,758,321,791,488
  5. Step 5: Solve for x
    x = 1,078,560,758,321,791,488/1,200,470,562.29
  6. Step 6: Final answer
    x = 898,448,318.68

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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.