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Finding the Fourth Proportional to 6,847,609,751.70, 10,271,414,627.55 and 6,847,609,751.70

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Solution

The fourth proportional to 6,847,609,751.70, 10,271,414,627.55 and 6,847,609,751.70 is: 10,271,414,627.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847,609,751.70 : 10,271,414,627.55 = 6,847,609,751.70 : x
  2. Step 2: Convert to fraction form
    6,847,609,751.70/10,271,414,627.55 = 6,847,609,751.70/x
  3. Step 3: Cross multiply
    6,847,609,751.70x = 10,271,414,627.55 × 6,847,609,751.70
  4. Step 4: Simplify right side
    6,847,609,751.70x = 70,334,638,967,365,394,432
  5. Step 5: Solve for x
    x = 70,334,638,967,365,394,432/6,847,609,751.70
  6. Step 6: Final answer
    x = 10,271,414,627.55

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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.