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Finding the Fourth Proportional to 419,321,176,965.23, 628,981,765,447.84 and 419,321,176,965.23

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Solution

The fourth proportional to 419,321,176,965.23, 628,981,765,447.84 and 419,321,176,965.23 is: 628,981,765,447.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,321,176,965.23 : 628,981,765,447.84 = 419,321,176,965.23 : x
  2. Step 2: Convert to fraction form
    419,321,176,965.23/628,981,765,447.84 = 419,321,176,965.23/x
  3. Step 3: Cross multiply
    419,321,176,965.23x = 628,981,765,447.84 × 419,321,176,965.23
  4. Step 4: Simplify right side
    419,321,176,965.23x = 263,745,374,177,256,481,488,896
  5. Step 5: Solve for x
    x = 263,745,374,177,256,481,488,896/419,321,176,965.23
  6. Step 6: Final answer
    x = 628,981,765,447.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.