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Finding the Fourth Proportional to 135,899,523.20, 190,796,809.60 and 135,899,523.20

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Solution

The fourth proportional to 135,899,523.20, 190,796,809.60 and 135,899,523.20 is: 190,796,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,899,523.20 : 190,796,809.60 = 135,899,523.20 : x
  2. Step 2: Convert to fraction form
    135,899,523.20/190,796,809.60 = 135,899,523.20/x
  3. Step 3: Cross multiply
    135,899,523.20x = 190,796,809.60 × 135,899,523.20
  4. Step 4: Simplify right side
    135,899,523.20x = 25,929,195,452,721,180
  5. Step 5: Solve for x
    x = 25,929,195,452,721,180/135,899,523.20
  6. Step 6: Final answer
    x = 190,796,809.60

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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.