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Finding the Fourth Proportional to 128,127,744,006.73, 192,191,616,010.09 and 128,127,744,006.73

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Solution

The fourth proportional to 128,127,744,006.73, 192,191,616,010.09 and 128,127,744,006.73 is: 192,191,616,010.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,127,744,006.73 : 192,191,616,010.09 = 128,127,744,006.73 : x
  2. Step 2: Convert to fraction form
    128,127,744,006.73/192,191,616,010.09 = 128,127,744,006.73/x
  3. Step 3: Cross multiply
    128,127,744,006.73x = 192,191,616,010.09 × 128,127,744,006.73
  4. Step 4: Simplify right side
    128,127,744,006.73x = 24,625,078,176,380,560,080,896
  5. Step 5: Solve for x
    x = 24,625,078,176,380,560,080,896/128,127,744,006.73
  6. Step 6: Final answer
    x = 192,191,616,010.09

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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.