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Finding the Fourth Proportional to 122,093,669,985.82, 183,140,504,978.73 and 122,093,669,985.82

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Solution

The fourth proportional to 122,093,669,985.82, 183,140,504,978.73 and 122,093,669,985.82 is: 183,140,504,978.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,093,669,985.82 : 183,140,504,978.73 = 122,093,669,985.82 : x
  2. Step 2: Convert to fraction form
    122,093,669,985.82/183,140,504,978.73 = 122,093,669,985.82/x
  3. Step 3: Cross multiply
    122,093,669,985.82x = 183,140,504,978.73 × 122,093,669,985.82
  4. Step 4: Simplify right side
    122,093,669,985.82x = 22,360,296,375,909,489,836,032
  5. Step 5: Solve for x
    x = 22,360,296,375,909,489,836,032/122,093,669,985.82
  6. Step 6: Final answer
    x = 183,140,504,978.73

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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.