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Finding the Fourth Proportional to 81,861,609,575.60, 122,792,414,363.40 and 81,861,609,575.60

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Solution

The fourth proportional to 81,861,609,575.60, 122,792,414,363.40 and 81,861,609,575.60 is: 122,792,414,363.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,861,609,575.60 : 122,792,414,363.40 = 81,861,609,575.60 : x
  2. Step 2: Convert to fraction form
    81,861,609,575.60/122,792,414,363.40 = 81,861,609,575.60/x
  3. Step 3: Cross multiply
    81,861,609,575.60x = 122,792,414,363.40 × 81,861,609,575.60
  4. Step 4: Simplify right side
    81,861,609,575.60x = 10,051,984,683,461,949,521,920
  5. Step 5: Solve for x
    x = 10,051,984,683,461,949,521,920/81,861,609,575.60
  6. Step 6: Final answer
    x = 122,792,414,363.40

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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.