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Finding the Fourth Proportional to 18,164,848,014.70, 27,247,272,022.05 and 18,164,848,014.70

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Solution

The fourth proportional to 18,164,848,014.70, 27,247,272,022.05 and 18,164,848,014.70 is: 27,247,272,022.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,164,848,014.70 : 27,247,272,022.05 = 18,164,848,014.70 : x
  2. Step 2: Convert to fraction form
    18,164,848,014.70/27,247,272,022.05 = 18,164,848,014.70/x
  3. Step 3: Cross multiply
    18,164,848,014.70x = 27,247,272,022.05 × 18,164,848,014.70
  4. Step 4: Simplify right side
    18,164,848,014.70x = 494,942,555,095,725,834,240
  5. Step 5: Solve for x
    x = 494,942,555,095,725,834,240/18,164,848,014.70
  6. Step 6: Final answer
    x = 27,247,272,022.05

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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.