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Finding the Fourth Proportional to 2,206,684,871,736, 3,310,027,307,604.10 and 2,206,684,871,736

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Solution

The fourth proportional to 2,206,684,871,736, 3,310,027,307,604.10 and 2,206,684,871,736 is: 3,310,027,307,604.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206,684,871,736 : 3,310,027,307,604.10 = 2,206,684,871,736 : x
  2. Step 2: Convert to fraction form
    2,206,684,871,736/3,310,027,307,604.10 = 2,206,684,871,736/x
  3. Step 3: Cross multiply
    2,206,684,871,736x = 3,310,027,307,604.10 × 2,206,684,871,736
  4. Step 4: Simplify right side
    2,206,684,871,736x = 7,304,187,184,723,010,605,023,232
  5. Step 5: Solve for x
    x = 7,304,187,184,723,010,605,023,232/2,206,684,871,736
  6. Step 6: Final answer
    x = 3,310,027,307,604.10

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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.