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Finding the Fourth Proportional to 81,861,609,723.60, 122,792,414,585.40 and 81,861,609,723.60

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Solution

The fourth proportional to 81,861,609,723.60, 122,792,414,585.40 and 81,861,609,723.60 is: 122,792,414,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,861,609,723.60 : 122,792,414,585.40 = 81,861,609,723.60 : x
  2. Step 2: Convert to fraction form
    81,861,609,723.60/122,792,414,585.40 = 81,861,609,723.60/x
  3. Step 3: Cross multiply
    81,861,609,723.60x = 122,792,414,585.40 × 81,861,609,723.60
  4. Step 4: Simplify right side
    81,861,609,723.60x = 10,051,984,719,808,502,431,744
  5. Step 5: Solve for x
    x = 10,051,984,719,808,502,431,744/81,861,609,723.60
  6. Step 6: Final answer
    x = 122,792,414,585.40

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1.5x scale

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.