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Finding the Fourth Proportional to 215,312,821,249.30, 322,969,231,873.95 and 215,312,821,249.30

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Solution

The fourth proportional to 215,312,821,249.30, 322,969,231,873.95 and 215,312,821,249.30 is: 322,969,231,873.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,312,821,249.30 : 322,969,231,873.95 = 215,312,821,249.30 : x
  2. Step 2: Convert to fraction form
    215,312,821,249.30/322,969,231,873.95 = 215,312,821,249.30/x
  3. Step 3: Cross multiply
    215,312,821,249.30x = 322,969,231,873.95 × 215,312,821,249.30
  4. Step 4: Simplify right side
    215,312,821,249.30x = 69,539,416,491,499,519,475,712
  5. Step 5: Solve for x
    x = 69,539,416,491,499,519,475,712/215,312,821,249.30
  6. Step 6: Final answer
    x = 322,969,231,873.95

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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.