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Finding the Fourth Proportional to 158,728,896,754.80, 238,093,345,132.20 and 158,728,896,754.80

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Solution

The fourth proportional to 158,728,896,754.80, 238,093,345,132.20 and 158,728,896,754.80 is: 238,093,345,132.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,728,896,754.80 : 238,093,345,132.20 = 158,728,896,754.80 : x
  2. Step 2: Convert to fraction form
    158,728,896,754.80/238,093,345,132.20 = 158,728,896,754.80/x
  3. Step 3: Cross multiply
    158,728,896,754.80x = 238,093,345,132.20 × 158,728,896,754.80
  4. Step 4: Simplify right side
    158,728,896,754.80x = 37,792,293,997,493,937,504,256
  5. Step 5: Solve for x
    x = 37,792,293,997,493,937,504,256/158,728,896,754.80
  6. Step 6: Final answer
    x = 238,093,345,132.20

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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.