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Finding the Fourth Proportional to 969,348,520,792.65, 1,454,022,781,189 and 969,348,520,792.65

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Solution

The fourth proportional to 969,348,520,792.65, 1,454,022,781,189 and 969,348,520,792.65 is: 1,454,022,781,189

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,348,520,792.65 : 1,454,022,781,189 = 969,348,520,792.65 : x
  2. Step 2: Convert to fraction form
    969,348,520,792.65/1,454,022,781,189 = 969,348,520,792.65/x
  3. Step 3: Cross multiply
    969,348,520,792.65x = 1,454,022,781,189 × 969,348,520,792.65
  4. Step 4: Simplify right side
    969,348,520,792.65x = 1,409,454,832,144,372,119,633,920
  5. Step 5: Solve for x
    x = 1,409,454,832,144,372,119,633,920/969,348,520,792.65
  6. Step 6: Final answer
    x = 1,454,022,781,189

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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.