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Finding the Fourth Proportional to 503,953,690,504.85, 755,930,535,757.30 and 503,953,690,504.85

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Solution

The fourth proportional to 503,953,690,504.85, 755,930,535,757.30 and 503,953,690,504.85 is: 755,930,535,757.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,953,690,504.85 : 755,930,535,757.30 = 503,953,690,504.85 : x
  2. Step 2: Convert to fraction form
    503,953,690,504.85/755,930,535,757.30 = 503,953,690,504.85/x
  3. Step 3: Cross multiply
    503,953,690,504.85x = 755,930,535,757.30 × 503,953,690,504.85
  4. Step 4: Simplify right side
    503,953,690,504.85x = 380,953,983,260,199,806,304,256
  5. Step 5: Solve for x
    x = 380,953,983,260,199,806,304,256/503,953,690,504.85
  6. Step 6: Final answer
    x = 755,930,535,757.30

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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.