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Finding the Fourth Proportional to 534,418,757,906.73, 801,628,136,860.12 and 534,418,757,906.73

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Solution

The fourth proportional to 534,418,757,906.73, 801,628,136,860.12 and 534,418,757,906.73 is: 801,628,136,860.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,418,757,906.73 : 801,628,136,860.12 = 534,418,757,906.73 : x
  2. Step 2: Convert to fraction form
    534,418,757,906.73/801,628,136,860.12 = 534,418,757,906.73/x
  3. Step 3: Cross multiply
    534,418,757,906.73x = 801,628,136,860.12 × 534,418,757,906.73
  4. Step 4: Simplify right side
    534,418,757,906.73x = 428,405,113,203,871,488,933,888
  5. Step 5: Solve for x
    x = 428,405,113,203,871,488,933,888/534,418,757,906.73
  6. Step 6: Final answer
    x = 801,628,136,860.12

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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.