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Finding the Fourth Proportional to 187,067,232,005.05, 280,600,848,007.56 and 187,067,232,005.05

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Solution

The fourth proportional to 187,067,232,005.05, 280,600,848,007.56 and 187,067,232,005.05 is: 280,600,848,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,067,232,005.05 : 280,600,848,007.56 = 187,067,232,005.05 : x
  2. Step 2: Convert to fraction form
    187,067,232,005.05/280,600,848,007.56 = 187,067,232,005.05/x
  3. Step 3: Cross multiply
    187,067,232,005.05x = 280,600,848,007.56 × 187,067,232,005.05
  4. Step 4: Simplify right side
    187,067,232,005.05x = 52,491,223,935,043,997,007,872
  5. Step 5: Solve for x
    x = 52,491,223,935,043,997,007,872/187,067,232,005.05
  6. Step 6: Final answer
    x = 280,600,848,007.56

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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.