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Finding the Fourth Proportional to 12,443,232,655.65, 18,664,848,983.48 and 12,443,232,655.65

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Solution

The fourth proportional to 12,443,232,655.65, 18,664,848,983.48 and 12,443,232,655.65 is: 18,664,848,983.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443,232,655.65 : 18,664,848,983.48 = 12,443,232,655.65 : x
  2. Step 2: Convert to fraction form
    12,443,232,655.65/18,664,848,983.48 = 12,443,232,655.65/x
  3. Step 3: Cross multiply
    12,443,232,655.65x = 18,664,848,983.48 × 12,443,232,655.65
  4. Step 4: Simplify right side
    12,443,232,655.65x = 232,251,058,383,951,790,080
  5. Step 5: Solve for x
    x = 232,251,058,383,951,790,080/12,443,232,655.65
  6. Step 6: Final answer
    x = 18,664,848,983.48

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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.