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Finding the Fourth Proportional to 12,443,301,004.05, 18,664,951,506.08 and 12,443,301,004.05

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Solution

The fourth proportional to 12,443,301,004.05, 18,664,951,506.08 and 12,443,301,004.05 is: 18,664,951,506.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443,301,004.05 : 18,664,951,506.08 = 12,443,301,004.05 : x
  2. Step 2: Convert to fraction form
    12,443,301,004.05/18,664,951,506.08 = 12,443,301,004.05/x
  3. Step 3: Cross multiply
    12,443,301,004.05x = 18,664,951,506.08 × 12,443,301,004.05
  4. Step 4: Simplify right side
    12,443,301,004.05x = 232,253,609,816,149,819,392
  5. Step 5: Solve for x
    x = 232,253,609,816,149,819,392/12,443,301,004.05
  6. Step 6: Final answer
    x = 18,664,951,506.08

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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.