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Finding the Fourth Proportional to 1,471,123,247,910.70, 2,206,684,871,866 and 1,471,123,247,910.70

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Solution

The fourth proportional to 1,471,123,247,910.70, 2,206,684,871,866 and 1,471,123,247,910.70 is: 2,206,684,871,866

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471,123,247,910.70 : 2,206,684,871,866 = 1,471,123,247,910.70 : x
  2. Step 2: Convert to fraction form
    1,471,123,247,910.70/2,206,684,871,866 = 1,471,123,247,910.70/x
  3. Step 3: Cross multiply
    1,471,123,247,910.70x = 2,206,684,871,866 × 1,471,123,247,910.70
  4. Step 4: Simplify right side
    1,471,123,247,910.70x = 3,246,305,415,814,916,413,063,168
  5. Step 5: Solve for x
    x = 3,246,305,415,814,916,413,063,168/1,471,123,247,910.70
  6. Step 6: Final answer
    x = 2,206,684,871,866

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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.