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Finding the Fourth Proportional to 13,460,256,098.30, 20,190,384,147.45 and 13,460,256,098.30

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Solution

The fourth proportional to 13,460,256,098.30, 20,190,384,147.45 and 13,460,256,098.30 is: 20,190,384,147.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,460,256,098.30 : 20,190,384,147.45 = 13,460,256,098.30 : x
  2. Step 2: Convert to fraction form
    13,460,256,098.30/20,190,384,147.45 = 13,460,256,098.30/x
  3. Step 3: Cross multiply
    13,460,256,098.30x = 20,190,384,147.45 × 13,460,256,098.30
  4. Step 4: Simplify right side
    13,460,256,098.30x = 271,767,741,347,733,504,000
  5. Step 5: Solve for x
    x = 271,767,741,347,733,504,000/13,460,256,098.30
  6. Step 6: Final answer
    x = 20,190,384,147.45

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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.