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Finding the Fourth Proportional to 12,178,512,098.30, 17,013,183,735.70 and 12,178,512,098.30

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Solution

The fourth proportional to 12,178,512,098.30, 17,013,183,735.70 and 12,178,512,098.30 is: 17,013,183,735.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,178,512,098.30 : 17,013,183,735.70 = 12,178,512,098.30 : x
  2. Step 2: Convert to fraction form
    12,178,512,098.30/17,013,183,735.70 = 12,178,512,098.30/x
  3. Step 3: Cross multiply
    12,178,512,098.30x = 17,013,183,735.70 × 12,178,512,098.30
  4. Step 4: Simplify right side
    12,178,512,098.30x = 207,195,263,955,823,230,976
  5. Step 5: Solve for x
    x = 207,195,263,955,823,230,976/12,178,512,098.30
  6. Step 6: Final answer
    x = 17,013,183,735.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.