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Finding the Fourth Proportional to 204,073,992,001.05, 306,110,988,001.60 and 204,073,992,001.05

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Solution

The fourth proportional to 204,073,992,001.05, 306,110,988,001.60 and 204,073,992,001.05 is: 306,110,988,001.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,073,992,001.05 : 306,110,988,001.60 = 204,073,992,001.05 : x
  2. Step 2: Convert to fraction form
    204,073,992,001.05/306,110,988,001.60 = 204,073,992,001.05/x
  3. Step 3: Cross multiply
    204,073,992,001.05x = 306,110,988,001.60 × 204,073,992,001.05
  4. Step 4: Simplify right side
    204,073,992,001.05x = 62,469,291,316,872,023,638,016
  5. Step 5: Solve for x
    x = 62,469,291,316,872,023,638,016/204,073,992,001.05
  6. Step 6: Final answer
    x = 306,110,988,001.60

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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.