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Finding the Fourth Proportional to 11,752,833,401,349, 17,601,387,288,122 and 11,752,833,401,349

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Solution

The fourth proportional to 11,752,833,401,349, 17,601,387,288,122 and 11,752,833,401,349 is: 17,601,387,288,122

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752,833,401,349 : 17,601,387,288,122 = 11,752,833,401,349 : x
  2. Step 2: Convert to fraction form
    11,752,833,401,349/17,601,387,288,122 = 11,752,833,401,349/x
  3. Step 3: Cross multiply
    11,752,833,401,349x = 17,601,387,288,122 × 11,752,833,401,349
  4. Step 4: Simplify right side
    11,752,833,401,349x = 206,866,172,429,919,942,281,789,440
  5. Step 5: Solve for x
    x = 206,866,172,429,919,942,281,789,440/11,752,833,401,349
  6. Step 6: Final answer
    x = 17,601,387,288,122

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.