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Finding the Fourth Proportional to 32,336,343,997.20, 48,504,515,995.80 and 32,336,343,997.20

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Solution

The fourth proportional to 32,336,343,997.20, 48,504,515,995.80 and 32,336,343,997.20 is: 48,504,515,995.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,336,343,997.20 : 48,504,515,995.80 = 32,336,343,997.20 : x
  2. Step 2: Convert to fraction form
    32,336,343,997.20/48,504,515,995.80 = 32,336,343,997.20/x
  3. Step 3: Cross multiply
    32,336,343,997.20x = 48,504,515,995.80 × 32,336,343,997.20
  4. Step 4: Simplify right side
    32,336,343,997.20x = 1,568,458,714,657,878,966,272
  5. Step 5: Solve for x
    x = 1,568,458,714,657,878,966,272/32,336,343,997.20
  6. Step 6: Final answer
    x = 48,504,515,995.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.