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Finding the Fourth Proportional to 122,836,404,453.90, 184,254,606,680.85 and 122,836,404,453.90

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Solution

The fourth proportional to 122,836,404,453.90, 184,254,606,680.85 and 122,836,404,453.90 is: 184,254,606,680.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,836,404,453.90 : 184,254,606,680.85 = 122,836,404,453.90 : x
  2. Step 2: Convert to fraction form
    122,836,404,453.90/184,254,606,680.85 = 122,836,404,453.90/x
  3. Step 3: Cross multiply
    122,836,404,453.90x = 184,254,606,680.85 × 122,836,404,453.90
  4. Step 4: Simplify right side
    122,836,404,453.90x = 22,633,173,388,743,153,811,456
  5. Step 5: Solve for x
    x = 22,633,173,388,743,153,811,456/122,836,404,453.90
  6. Step 6: Final answer
    x = 184,254,606,680.85

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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.