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Finding the Fourth Proportional to 33,094,899,231.20, 49,642,348,846.80 and 33,094,899,231.20

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Solution

The fourth proportional to 33,094,899,231.20, 49,642,348,846.80 and 33,094,899,231.20 is: 49,642,348,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,094,899,231.20 : 49,642,348,846.80 = 33,094,899,231.20 : x
  2. Step 2: Convert to fraction form
    33,094,899,231.20/49,642,348,846.80 = 33,094,899,231.20/x
  3. Step 3: Cross multiply
    33,094,899,231.20x = 49,642,348,846.80 × 33,094,899,231.20
  4. Step 4: Simplify right side
    33,094,899,231.20x = 1,642,908,532,684,923,600,896
  5. Step 5: Solve for x
    x = 1,642,908,532,684,923,600,896/33,094,899,231.20
  6. Step 6: Final answer
    x = 49,642,348,846.80

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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.