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Finding the Fourth Proportional to 11,632,180,608,093, 17,448,270,912,140 and 11,632,180,608,093

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Solution

The fourth proportional to 11,632,180,608,093, 17,448,270,912,140 and 11,632,180,608,093 is: 17,448,270,912,140

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,632,180,608,093 : 17,448,270,912,140 = 11,632,180,608,093 : x
  2. Step 2: Convert to fraction form
    11,632,180,608,093/17,448,270,912,140 = 11,632,180,608,093/x
  3. Step 3: Cross multiply
    11,632,180,608,093x = 17,448,270,912,140 × 11,632,180,608,093
  4. Step 4: Simplify right side
    11,632,180,608,093x = 202,961,438,548,948,075,935,694,848
  5. Step 5: Solve for x
    x = 202,961,438,548,948,075,935,694,848/11,632,180,608,093
  6. Step 6: Final answer
    x = 17,448,270,912,140

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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.