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Finding the Fourth Proportional to 50,203,952,209.05, 75,305,928,313.58 and 50,203,952,209.05

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Solution

The fourth proportional to 50,203,952,209.05, 75,305,928,313.58 and 50,203,952,209.05 is: 75,305,928,313.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,203,952,209.05 : 75,305,928,313.58 = 50,203,952,209.05 : x
  2. Step 2: Convert to fraction form
    50,203,952,209.05/75,305,928,313.58 = 50,203,952,209.05/x
  3. Step 3: Cross multiply
    50,203,952,209.05x = 75,305,928,313.58 × 50,203,952,209.05
  4. Step 4: Simplify right side
    50,203,952,209.05x = 3,780,655,226,112,864,419,840
  5. Step 5: Solve for x
    x = 3,780,655,226,112,864,419,840/50,203,952,209.05
  6. Step 6: Final answer
    x = 75,305,928,313.58

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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.