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Finding the Fourth Proportional to 13,452,042,912.30, 20,178,064,368.45 and 13,452,042,912.30

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Solution

The fourth proportional to 13,452,042,912.30, 20,178,064,368.45 and 13,452,042,912.30 is: 20,178,064,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,452,042,912.30 : 20,178,064,368.45 = 13,452,042,912.30 : x
  2. Step 2: Convert to fraction form
    13,452,042,912.30/20,178,064,368.45 = 13,452,042,912.30/x
  3. Step 3: Cross multiply
    13,452,042,912.30x = 20,178,064,368.45 × 13,452,042,912.30
  4. Step 4: Simplify right side
    13,452,042,912.30x = 271,436,187,771,540,996,096
  5. Step 5: Solve for x
    x = 271,436,187,771,540,996,096/13,452,042,912.30
  6. Step 6: Final answer
    x = 20,178,064,368.45

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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.