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Finding the Fourth Proportional to 187,067,232,003.97, 280,600,848,005.97 and 187,067,232,003.97

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Solution

The fourth proportional to 187,067,232,003.97, 280,600,848,005.97 and 187,067,232,003.97 is: 280,600,848,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,067,232,003.97 : 280,600,848,005.97 = 187,067,232,003.97 : x
  2. Step 2: Convert to fraction form
    187,067,232,003.97/280,600,848,005.97 = 187,067,232,003.97/x
  3. Step 3: Cross multiply
    187,067,232,003.97x = 280,600,848,005.97 × 187,067,232,003.97
  4. Step 4: Simplify right side
    187,067,232,003.97x = 52,491,223,934,443,506,892,800
  5. Step 5: Solve for x
    x = 52,491,223,934,443,506,892,800/187,067,232,003.97
  6. Step 6: Final answer
    x = 280,600,848,005.97

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1.5x scale

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.