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Finding the Fourth Proportional to 365,986,302,521.28, 548,979,453,781.90 and 365,986,302,521.28

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Solution

The fourth proportional to 365,986,302,521.28, 548,979,453,781.90 and 365,986,302,521.28 is: 548,979,453,781.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,986,302,521.28 : 548,979,453,781.90 = 365,986,302,521.28 : x
  2. Step 2: Convert to fraction form
    365,986,302,521.28/548,979,453,781.90 = 365,986,302,521.28/x
  3. Step 3: Cross multiply
    365,986,302,521.28x = 548,979,453,781.90 × 365,986,302,521.28
  4. Step 4: Simplify right side
    365,986,302,521.28x = 200,918,960,449,789,544,628,224
  5. Step 5: Solve for x
    x = 200,918,960,449,789,544,628,224/365,986,302,521.28
  6. Step 6: Final answer
    x = 548,979,453,781.90

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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.