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Finding the Fourth Proportional to 331,314,413,469.40, 496,971,620,204.10 and 331,314,413,469.40

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Solution

The fourth proportional to 331,314,413,469.40, 496,971,620,204.10 and 331,314,413,469.40 is: 496,971,620,204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,314,413,469.40 : 496,971,620,204.10 = 331,314,413,469.40 : x
  2. Step 2: Convert to fraction form
    331,314,413,469.40/496,971,620,204.10 = 331,314,413,469.40/x
  3. Step 3: Cross multiply
    331,314,413,469.40x = 496,971,620,204.10 × 331,314,413,469.40
  4. Step 4: Simplify right side
    331,314,413,469.40x = 164,653,860,858,858,815,094,784
  5. Step 5: Solve for x
    x = 164,653,860,858,858,815,094,784/331,314,413,469.40
  6. Step 6: Final answer
    x = 496,971,620,204.10

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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.