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Finding the Fourth Proportional to 412,066,136,640.80, 618,099,204,961.20 and 412,066,136,640.80

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Solution

The fourth proportional to 412,066,136,640.80, 618,099,204,961.20 and 412,066,136,640.80 is: 618,099,204,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,066,136,640.80 : 618,099,204,961.20 = 412,066,136,640.80 : x
  2. Step 2: Convert to fraction form
    412,066,136,640.80/618,099,204,961.20 = 412,066,136,640.80/x
  3. Step 3: Cross multiply
    412,066,136,640.80x = 618,099,204,961.20 × 412,066,136,640.80
  4. Step 4: Simplify right side
    412,066,136,640.80x = 254,697,751,449,111,671,865,344
  5. Step 5: Solve for x
    x = 254,697,751,449,111,671,865,344/412,066,136,640.80
  6. Step 6: Final answer
    x = 618,099,204,961.20

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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.