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Finding the Fourth Proportional to 36,201,405,893.20, 54,302,108,839.80 and 36,201,405,893.20

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Solution

The fourth proportional to 36,201,405,893.20, 54,302,108,839.80 and 36,201,405,893.20 is: 54,302,108,839.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,201,405,893.20 : 54,302,108,839.80 = 36,201,405,893.20 : x
  2. Step 2: Convert to fraction form
    36,201,405,893.20/54,302,108,839.80 = 36,201,405,893.20/x
  3. Step 3: Cross multiply
    36,201,405,893.20x = 54,302,108,839.80 × 36,201,405,893.20
  4. Step 4: Simplify right side
    36,201,405,893.20x = 1,965,812,682,966,323,429,376
  5. Step 5: Solve for x
    x = 1,965,812,682,966,323,429,376/36,201,405,893.20
  6. Step 6: Final answer
    x = 54,302,108,839.80

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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.