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Finding the Fourth Proportional to 13,726,422,054.70, 20,589,633,082.05 and 13,726,422,054.70

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Solution

The fourth proportional to 13,726,422,054.70, 20,589,633,082.05 and 13,726,422,054.70 is: 20,589,633,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726,422,054.70 : 20,589,633,082.05 = 13,726,422,054.70 : x
  2. Step 2: Convert to fraction form
    13,726,422,054.70/20,589,633,082.05 = 13,726,422,054.70/x
  3. Step 3: Cross multiply
    13,726,422,054.70x = 20,589,633,082.05 × 13,726,422,054.70
  4. Step 4: Simplify right side
    13,726,422,054.70x = 282,621,993,635,631,857,664
  5. Step 5: Solve for x
    x = 282,621,993,635,631,857,664/13,726,422,054.70
  6. Step 6: Final answer
    x = 20,589,633,082.05

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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.