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Finding the Fourth Proportional to 2,206,684,871,686.70, 3,310,027,307,530 and 2,206,684,871,686.70

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Solution

The fourth proportional to 2,206,684,871,686.70, 3,310,027,307,530 and 2,206,684,871,686.70 is: 3,310,027,307,530

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206,684,871,686.70 : 3,310,027,307,530 = 2,206,684,871,686.70 : x
  2. Step 2: Convert to fraction form
    2,206,684,871,686.70/3,310,027,307,530 = 2,206,684,871,686.70/x
  3. Step 3: Cross multiply
    2,206,684,871,686.70x = 3,310,027,307,530 × 2,206,684,871,686.70
  4. Step 4: Simplify right side
    2,206,684,871,686.70x = 7,304,187,184,396,311,770,169,344
  5. Step 5: Solve for x
    x = 7,304,187,184,396,311,770,169,344/2,206,684,871,686.70
  6. Step 6: Final answer
    x = 3,310,027,307,530

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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.