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Finding the Fourth Proportional to 969,348,520,790, 1,454,022,781,185.10 and 969,348,520,790

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Solution

The fourth proportional to 969,348,520,790, 1,454,022,781,185.10 and 969,348,520,790 is: 1,454,022,781,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,348,520,790 : 1,454,022,781,185.10 = 969,348,520,790 : x
  2. Step 2: Convert to fraction form
    969,348,520,790/1,454,022,781,185.10 = 969,348,520,790/x
  3. Step 3: Cross multiply
    969,348,520,790x = 1,454,022,781,185.10 × 969,348,520,790
  4. Step 4: Simplify right side
    969,348,520,790x = 1,409,454,832,136,738,620,571,648
  5. Step 5: Solve for x
    x = 1,409,454,832,136,738,620,571,648/969,348,520,790
  6. Step 6: Final answer
    x = 1,454,022,781,185.10

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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.