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Finding the Fourth Proportional to 158,728,896,755.80, 238,093,345,133.70 and 158,728,896,755.80

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Solution

The fourth proportional to 158,728,896,755.80, 238,093,345,133.70 and 158,728,896,755.80 is: 238,093,345,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,728,896,755.80 : 238,093,345,133.70 = 158,728,896,755.80 : x
  2. Step 2: Convert to fraction form
    158,728,896,755.80/238,093,345,133.70 = 158,728,896,755.80/x
  3. Step 3: Cross multiply
    158,728,896,755.80x = 238,093,345,133.70 × 158,728,896,755.80
  4. Step 4: Simplify right side
    158,728,896,755.80x = 37,792,293,997,970,125,225,984
  5. Step 5: Solve for x
    x = 37,792,293,997,970,125,225,984/158,728,896,755.80
  6. Step 6: Final answer
    x = 238,093,345,133.70

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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.