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Finding the Fourth Proportional to 13,648,522,096.23, 20,472,783,144.34 and 13,648,522,096.23

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Solution

The fourth proportional to 13,648,522,096.23, 20,472,783,144.34 and 13,648,522,096.23 is: 20,472,783,144.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,648,522,096.23 : 20,472,783,144.34 = 13,648,522,096.23 : x
  2. Step 2: Convert to fraction form
    13,648,522,096.23/20,472,783,144.34 = 13,648,522,096.23/x
  3. Step 3: Cross multiply
    13,648,522,096.23x = 20,472,783,144.34 × 13,648,522,096.23
  4. Step 4: Simplify right side
    13,648,522,096.23x = 279,423,233,116,849,569,792
  5. Step 5: Solve for x
    x = 279,423,233,116,849,569,792/13,648,522,096.23
  6. Step 6: Final answer
    x = 20,472,783,144.34

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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.