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Finding the Fourth Proportional to 18,267,768,223.20, 25,519,775,709.60 and 18,267,768,223.20

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Solution

The fourth proportional to 18,267,768,223.20, 25,519,775,709.60 and 18,267,768,223.20 is: 25,519,775,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,267,768,223.20 : 25,519,775,709.60 = 18,267,768,223.20 : x
  2. Step 2: Convert to fraction form
    18,267,768,223.20/25,519,775,709.60 = 18,267,768,223.20/x
  3. Step 3: Cross multiply
    18,267,768,223.20x = 25,519,775,709.60 × 18,267,768,223.20
  4. Step 4: Simplify right side
    18,267,768,223.20x = 466,189,347,771,022,114,816
  5. Step 5: Solve for x
    x = 466,189,347,771,022,114,816/18,267,768,223.20
  6. Step 6: Final answer
    x = 25,519,775,709.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.