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Finding the Fourth Proportional to 419,321,175,768.60, 628,981,763,652.90 and 419,321,175,768.60

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Solution

The fourth proportional to 419,321,175,768.60, 628,981,763,652.90 and 419,321,175,768.60 is: 628,981,763,652.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,321,175,768.60 : 628,981,763,652.90 = 419,321,175,768.60 : x
  2. Step 2: Convert to fraction form
    419,321,175,768.60/628,981,763,652.90 = 419,321,175,768.60/x
  3. Step 3: Cross multiply
    419,321,175,768.60x = 628,981,763,652.90 × 419,321,175,768.60
  4. Step 4: Simplify right side
    419,321,175,768.60x = 263,745,372,671,941,713,854,464
  5. Step 5: Solve for x
    x = 263,745,372,671,941,713,854,464/419,321,175,768.60
  6. Step 6: Final answer
    x = 628,981,763,652.90

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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.