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Finding the Fourth Proportional to 8,494,564,608,004.70, 12,741,846,912,010 and 8,494,564,608,004.70

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Solution

The fourth proportional to 8,494,564,608,004.70, 12,741,846,912,010 and 8,494,564,608,004.70 is: 12,741,846,912,010

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494,564,608,004.70 : 12,741,846,912,010 = 8,494,564,608,004.70 : x
  2. Step 2: Convert to fraction form
    8,494,564,608,004.70/12,741,846,912,010 = 8,494,564,608,004.70/x
  3. Step 3: Cross multiply
    8,494,564,608,004.70x = 12,741,846,912,010 × 8,494,564,608,004.70
  4. Step 4: Simplify right side
    8,494,564,608,004.70x = 108,236,441,819,374,118,867,304,448
  5. Step 5: Solve for x
    x = 108,236,441,819,374,118,867,304,448/8,494,564,608,004.70
  6. Step 6: Final answer
    x = 12,741,846,912,010

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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.