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Finding the Fourth Proportional to 187,067,232,006.73, 280,600,848,010.10 and 187,067,232,006.73

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Solution

The fourth proportional to 187,067,232,006.73, 280,600,848,010.10 and 187,067,232,006.73 is: 280,600,848,010.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,067,232,006.73 : 280,600,848,010.10 = 187,067,232,006.73 : x
  2. Step 2: Convert to fraction form
    187,067,232,006.73/280,600,848,010.10 = 187,067,232,006.73/x
  3. Step 3: Cross multiply
    187,067,232,006.73x = 280,600,848,010.10 × 187,067,232,006.73
  4. Step 4: Simplify right side
    187,067,232,006.73x = 52,491,223,935,990,559,145,984
  5. Step 5: Solve for x
    x = 52,491,223,935,990,559,145,984/187,067,232,006.73
  6. Step 6: Final answer
    x = 280,600,848,010.10

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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.