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Finding the Fourth Proportional to 411,453,433,556.60, 617,180,150,334.90 and 411,453,433,556.60

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Solution

The fourth proportional to 411,453,433,556.60, 617,180,150,334.90 and 411,453,433,556.60 is: 617,180,150,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,453,433,556.60 : 617,180,150,334.90 = 411,453,433,556.60 : x
  2. Step 2: Convert to fraction form
    411,453,433,556.60/617,180,150,334.90 = 411,453,433,556.60/x
  3. Step 3: Cross multiply
    411,453,433,556.60x = 617,180,150,334.90 × 411,453,433,556.60
  4. Step 4: Simplify right side
    411,453,433,556.60x = 253,940,891,978,273,187,168,256
  5. Step 5: Solve for x
    x = 253,940,891,978,273,187,168,256/411,453,433,556.60
  6. Step 6: Final answer
    x = 617,180,150,334.90

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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.