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Finding the Fourth Proportional to 191,476,305,100.65, 287,214,457,650.97 and 191,476,305,100.65

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Solution

The fourth proportional to 191,476,305,100.65, 287,214,457,650.97 and 191,476,305,100.65 is: 287,214,457,650.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,476,305,100.65 : 287,214,457,650.97 = 191,476,305,100.65 : x
  2. Step 2: Convert to fraction form
    191,476,305,100.65/287,214,457,650.97 = 191,476,305,100.65/x
  3. Step 3: Cross multiply
    191,476,305,100.65x = 287,214,457,650.97 × 191,476,305,100.65
  4. Step 4: Simplify right side
    191,476,305,100.65x = 54,994,763,122,494,847,057,920
  5. Step 5: Solve for x
    x = 54,994,763,122,494,847,057,920/191,476,305,100.65
  6. Step 6: Final answer
    x = 287,214,457,650.97

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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.