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Finding the Fourth Proportional to 99,545,861,505.20, 149,318,792,257.80 and 99,545,861,505.20

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Solution

The fourth proportional to 99,545,861,505.20, 149,318,792,257.80 and 99,545,861,505.20 is: 149,318,792,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,545,861,505.20 : 149,318,792,257.80 = 99,545,861,505.20 : x
  2. Step 2: Convert to fraction form
    99,545,861,505.20/149,318,792,257.80 = 99,545,861,505.20/x
  3. Step 3: Cross multiply
    99,545,861,505.20x = 149,318,792,257.80 × 99,545,861,505.20
  4. Step 4: Simplify right side
    99,545,861,505.20x = 14,864,067,814,218,688,102,400
  5. Step 5: Solve for x
    x = 14,864,067,814,218,688,102,400/99,545,861,505.20
  6. Step 6: Final answer
    x = 149,318,792,257.80

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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.