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Finding the Fourth Proportional to 127,650,870,071.85, 191,476,305,107.78 and 127,650,870,071.85

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Solution

The fourth proportional to 127,650,870,071.85, 191,476,305,107.78 and 127,650,870,071.85 is: 191,476,305,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,650,870,071.85 : 191,476,305,107.78 = 127,650,870,071.85 : x
  2. Step 2: Convert to fraction form
    127,650,870,071.85/191,476,305,107.78 = 127,650,870,071.85/x
  3. Step 3: Cross multiply
    127,650,870,071.85x = 191,476,305,107.78 × 127,650,870,071.85
  4. Step 4: Simplify right side
    127,650,870,071.85x = 24,442,116,945,151,134,793,728
  5. Step 5: Solve for x
    x = 24,442,116,945,151,134,793,728/127,650,870,071.85
  6. Step 6: Final answer
    x = 191,476,305,107.78

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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.