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Finding the Fourth Proportional to 122,425,347,930.30, 183,347,784,250.65 and 122,425,347,930.30

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Solution

The fourth proportional to 122,425,347,930.30, 183,347,784,250.65 and 122,425,347,930.30 is: 183,347,784,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,425,347,930.30 : 183,347,784,250.65 = 122,425,347,930.30 : x
  2. Step 2: Convert to fraction form
    122,425,347,930.30/183,347,784,250.65 = 122,425,347,930.30/x
  3. Step 3: Cross multiply
    122,425,347,930.30x = 183,347,784,250.65 × 122,425,347,930.30
  4. Step 4: Simplify right side
    122,425,347,930.30x = 22,446,416,279,135,405,998,080
  5. Step 5: Solve for x
    x = 22,446,416,279,135,405,998,080/122,425,347,930.30
  6. Step 6: Final answer
    x = 183,347,784,250.65

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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.