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Finding the Fourth Proportional to 756,681,401.80, 1,135,022,102.70 and 756,681,401.80

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Solution

The fourth proportional to 756,681,401.80, 1,135,022,102.70 and 756,681,401.80 is: 1,135,022,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    756,681,401.80 : 1,135,022,102.70 = 756,681,401.80 : x
  2. Step 2: Convert to fraction form
    756,681,401.80/1,135,022,102.70 = 756,681,401.80/x
  3. Step 3: Cross multiply
    756,681,401.80x = 1,135,022,102.70 × 756,681,401.80
  4. Step 4: Simplify right side
    756,681,401.80x = 858,850,115,745,019,520
  5. Step 5: Solve for x
    x = 858,850,115,745,019,520/756,681,401.80
  6. Step 6: Final answer
    x = 1,135,022,102.70

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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.