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Finding the Fourth Proportional to 68,398,720,199.60, 102,598,080,299.40 and 68,398,720,199.60

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Solution

The fourth proportional to 68,398,720,199.60, 102,598,080,299.40 and 68,398,720,199.60 is: 102,598,080,299.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,398,720,199.60 : 102,598,080,299.40 = 68,398,720,199.60 : x
  2. Step 2: Convert to fraction form
    68,398,720,199.60/102,598,080,299.40 = 68,398,720,199.60/x
  3. Step 3: Cross multiply
    68,398,720,199.60x = 102,598,080,299.40 × 68,398,720,199.60
  4. Step 4: Simplify right side
    68,398,720,199.60x = 7,017,577,387,414,752,591,872
  5. Step 5: Solve for x
    x = 7,017,577,387,414,752,591,872/68,398,720,199.60
  6. Step 6: Final answer
    x = 102,598,080,299.40

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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.