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Finding the Fourth Proportional to 349,302,512.20, 523,953,768.30 and 349,302,512.20

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Solution

The fourth proportional to 349,302,512.20, 523,953,768.30 and 349,302,512.20 is: 523,953,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,302,512.20 : 523,953,768.30 = 349,302,512.20 : x
  2. Step 2: Convert to fraction form
    349,302,512.20/523,953,768.30 = 349,302,512.20/x
  3. Step 3: Cross multiply
    349,302,512.20x = 523,953,768.30 × 349,302,512.20
  4. Step 4: Simplify right side
    349,302,512.20x = 183,018,367,543,846,720
  5. Step 5: Solve for x
    x = 183,018,367,543,846,720/349,302,512.20
  6. Step 6: Final answer
    x = 523,953,768.30

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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.