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Finding the Fourth Proportional to 131,909,502,002.51, 197,864,253,003.78 and 131,909,502,002.51

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Solution

The fourth proportional to 131,909,502,002.51, 197,864,253,003.78 and 131,909,502,002.51 is: 197,864,253,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,909,502,002.51 : 197,864,253,003.78 = 131,909,502,002.51 : x
  2. Step 2: Convert to fraction form
    131,909,502,002.51/197,864,253,003.78 = 131,909,502,002.51/x
  3. Step 3: Cross multiply
    131,909,502,002.51x = 197,864,253,003.78 × 131,909,502,002.51
  4. Step 4: Simplify right side
    131,909,502,002.51x = 26,100,175,077,827,260,973,056
  5. Step 5: Solve for x
    x = 26,100,175,077,827,260,973,056/131,909,502,002.51
  6. Step 6: Final answer
    x = 197,864,253,003.78

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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.