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Finding the Fourth Proportional to 3,412,380,531.90, 5,118,570,797.85 and 3,412,380,531.90

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Solution

The fourth proportional to 3,412,380,531.90, 5,118,570,797.85 and 3,412,380,531.90 is: 5,118,570,797.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412,380,531.90 : 5,118,570,797.85 = 3,412,380,531.90 : x
  2. Step 2: Convert to fraction form
    3,412,380,531.90/5,118,570,797.85 = 3,412,380,531.90/x
  3. Step 3: Cross multiply
    3,412,380,531.90x = 5,118,570,797.85 × 3,412,380,531.90
  4. Step 4: Simplify right side
    3,412,380,531.90x = 17,466,511,341,735,192,576
  5. Step 5: Solve for x
    x = 17,466,511,341,735,192,576/3,412,380,531.90
  6. Step 6: Final answer
    x = 5,118,570,797.85

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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.