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Finding the Fourth Proportional to 2,206,684,871,806, 3,310,027,307,709 and 2,206,684,871,806

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Solution

The fourth proportional to 2,206,684,871,806, 3,310,027,307,709 and 2,206,684,871,806 is: 3,310,027,307,709

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,206,684,871,806 : 3,310,027,307,709 = 2,206,684,871,806 : x
  2. Step 2: Convert to fraction form
    2,206,684,871,806/3,310,027,307,709 = 2,206,684,871,806/x
  3. Step 3: Cross multiply
    2,206,684,871,806x = 3,310,027,307,709 × 2,206,684,871,806
  4. Step 4: Simplify right side
    2,206,684,871,806x = 7,304,187,185,186,193,836,867,584
  5. Step 5: Solve for x
    x = 7,304,187,185,186,193,836,867,584/2,206,684,871,806
  6. Step 6: Final answer
    x = 3,310,027,307,709

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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.