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Finding the Fourth Proportional to 50,203,952,148.30, 75,305,928,222.46 and 50,203,952,148.30

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Solution

The fourth proportional to 50,203,952,148.30, 75,305,928,222.46 and 50,203,952,148.30 is: 75,305,928,222.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,203,952,148.30 : 75,305,928,222.46 = 50,203,952,148.30 : x
  2. Step 2: Convert to fraction form
    50,203,952,148.30/75,305,928,222.46 = 50,203,952,148.30/x
  3. Step 3: Cross multiply
    50,203,952,148.30x = 75,305,928,222.46 × 50,203,952,148.30
  4. Step 4: Simplify right side
    50,203,952,148.30x = 3,780,655,216,963,696,984,064
  5. Step 5: Solve for x
    x = 3,780,655,216,963,696,984,064/50,203,952,148.30
  6. Step 6: Final answer
    x = 75,305,928,222.46

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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.