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Finding the Fourth Proportional to 15,305,954,772.10, 22,922,652,452.55 and 15,305,954,772.10

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Solution

The fourth proportional to 15,305,954,772.10, 22,922,652,452.55 and 15,305,954,772.10 is: 22,922,652,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,305,954,772.10 : 22,922,652,452.55 = 15,305,954,772.10 : x
  2. Step 2: Convert to fraction form
    15,305,954,772.10/22,922,652,452.55 = 15,305,954,772.10/x
  3. Step 3: Cross multiply
    15,305,954,772.10x = 22,922,652,452.55 × 15,305,954,772.10
  4. Step 4: Simplify right side
    15,305,954,772.10x = 350,853,081,695,297,470,464
  5. Step 5: Solve for x
    x = 350,853,081,695,297,470,464/15,305,954,772.10
  6. Step 6: Final answer
    x = 22,922,652,452.55

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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.