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Finding the Fourth Proportional to 187,067,232,005.73, 280,600,848,008.59 and 187,067,232,005.73

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Solution

The fourth proportional to 187,067,232,005.73, 280,600,848,008.59 and 187,067,232,005.73 is: 280,600,848,008.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,067,232,005.73 : 280,600,848,008.59 = 187,067,232,005.73 : x
  2. Step 2: Convert to fraction form
    187,067,232,005.73/280,600,848,008.59 = 187,067,232,005.73/x
  3. Step 3: Cross multiply
    187,067,232,005.73x = 280,600,848,008.59 × 187,067,232,005.73
  4. Step 4: Simplify right side
    187,067,232,005.73x = 52,491,223,935,427,490,611,200
  5. Step 5: Solve for x
    x = 52,491,223,935,427,490,611,200/187,067,232,005.73
  6. Step 6: Final answer
    x = 280,600,848,008.59

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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.