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Finding the Fourth Proportional to 68,164,416,092.30, 102,246,624,138.46 and 68,164,416,092.30

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Solution

The fourth proportional to 68,164,416,092.30, 102,246,624,138.46 and 68,164,416,092.30 is: 102,246,624,138.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,164,416,092.30 : 102,246,624,138.46 = 68,164,416,092.30 : x
  2. Step 2: Convert to fraction form
    68,164,416,092.30/102,246,624,138.46 = 68,164,416,092.30/x
  3. Step 3: Cross multiply
    68,164,416,092.30x = 102,246,624,138.46 × 68,164,416,092.30
  4. Step 4: Simplify right side
    68,164,416,092.30x = 6,969,581,431,806,992,842,752
  5. Step 5: Solve for x
    x = 6,969,581,431,806,992,842,752/68,164,416,092.30
  6. Step 6: Final answer
    x = 102,246,624,138.46

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1.5x scale

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.