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Finding the Fourth Proportional to 8,494,564,608,477.40, 12,741,846,912,716 and 8,494,564,608,477.40

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Solution

The fourth proportional to 8,494,564,608,477.40, 12,741,846,912,716 and 8,494,564,608,477.40 is: 12,741,846,912,716

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494,564,608,477.40 : 12,741,846,912,716 = 8,494,564,608,477.40 : x
  2. Step 2: Convert to fraction form
    8,494,564,608,477.40/12,741,846,912,716 = 8,494,564,608,477.40/x
  3. Step 3: Cross multiply
    8,494,564,608,477.40x = 12,741,846,912,716 × 8,494,564,608,477.40
  4. Step 4: Simplify right side
    8,494,564,608,477.40x = 108,236,441,831,394,357,939,273,728
  5. Step 5: Solve for x
    x = 108,236,441,831,394,357,939,273,728/8,494,564,608,477.40
  6. Step 6: Final answer
    x = 12,741,846,912,716

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.