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Finding the Fourth Proportional to 534,418,757,901.75, 801,628,136,852.65 and 534,418,757,901.75

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Solution

The fourth proportional to 534,418,757,901.75, 801,628,136,852.65 and 534,418,757,901.75 is: 801,628,136,852.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,418,757,901.75 : 801,628,136,852.65 = 534,418,757,901.75 : x
  2. Step 2: Convert to fraction form
    534,418,757,901.75/801,628,136,852.65 = 534,418,757,901.75/x
  3. Step 3: Cross multiply
    534,418,757,901.75x = 801,628,136,852.65 × 534,418,757,901.75
  4. Step 4: Simplify right side
    534,418,757,901.75x = 428,405,113,195,887,278,948,352
  5. Step 5: Solve for x
    x = 428,405,113,195,887,278,948,352/534,418,757,901.75
  6. Step 6: Final answer
    x = 801,628,136,852.65

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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.