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Finding the Fourth Proportional to 17,006,142,735.40, 25,463,297,600.70 and 17,006,142,735.40

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Solution

The fourth proportional to 17,006,142,735.40, 25,463,297,600.70 and 17,006,142,735.40 is: 25,463,297,600.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,006,142,735.40 : 25,463,297,600.70 = 17,006,142,735.40 : x
  2. Step 2: Convert to fraction form
    17,006,142,735.40/25,463,297,600.70 = 17,006,142,735.40/x
  3. Step 3: Cross multiply
    17,006,142,735.40x = 25,463,297,600.70 × 17,006,142,735.40
  4. Step 4: Simplify right side
    17,006,142,735.40x = 433,032,473,511,472,529,408
  5. Step 5: Solve for x
    x = 433,032,473,511,472,529,408/17,006,142,735.40
  6. Step 6: Final answer
    x = 25,463,297,600.70

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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.