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Finding the Fourth Proportional to 168,064,634,832.80, 252,096,952,249.20 and 168,064,634,832.80

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Solution

The fourth proportional to 168,064,634,832.80, 252,096,952,249.20 and 168,064,634,832.80 is: 252,096,952,249.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,064,634,832.80 : 252,096,952,249.20 = 168,064,634,832.80 : x
  2. Step 2: Convert to fraction form
    168,064,634,832.80/252,096,952,249.20 = 168,064,634,832.80/x
  3. Step 3: Cross multiply
    168,064,634,832.80x = 252,096,952,249.20 × 168,064,634,832.80
  4. Step 4: Simplify right side
    168,064,634,832.80x = 42,368,582,222,223,616,507,904
  5. Step 5: Solve for x
    x = 42,368,582,222,223,616,507,904/168,064,634,832.80
  6. Step 6: Final answer
    x = 252,096,952,249.20

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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.