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Finding the Fourth Proportional to 11,494,942,907.40, 17,242,414,361.10 and 11,494,942,907.40

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Solution

The fourth proportional to 11,494,942,907.40, 17,242,414,361.10 and 11,494,942,907.40 is: 17,242,414,361.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,494,942,907.40 : 17,242,414,361.10 = 11,494,942,907.40 : x
  2. Step 2: Convert to fraction form
    11,494,942,907.40/17,242,414,361.10 = 11,494,942,907.40/x
  3. Step 3: Cross multiply
    11,494,942,907.40x = 17,242,414,361.10 × 11,494,942,907.40
  4. Step 4: Simplify right side
    11,494,942,907.40x = 198,200,568,666,578,321,408
  5. Step 5: Solve for x
    x = 198,200,568,666,578,321,408/11,494,942,907.40
  6. Step 6: Final answer
    x = 17,242,414,361.10

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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.