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Finding the Fourth Proportional to 17,238,049,200.23, 25,857,073,800.34 and 17,238,049,200.23

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Solution

The fourth proportional to 17,238,049,200.23, 25,857,073,800.34 and 17,238,049,200.23 is: 25,857,073,800.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238,049,200.23 : 25,857,073,800.34 = 17,238,049,200.23 : x
  2. Step 2: Convert to fraction form
    17,238,049,200.23/25,857,073,800.34 = 17,238,049,200.23/x
  3. Step 3: Cross multiply
    17,238,049,200.23x = 25,857,073,800.34 × 17,238,049,200.23
  4. Step 4: Simplify right side
    17,238,049,200.23x = 445,725,510,344,058,011,648
  5. Step 5: Solve for x
    x = 445,725,510,344,058,011,648/17,238,049,200.23
  6. Step 6: Final answer
    x = 25,857,073,800.34

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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.