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Finding the Fourth Proportional to 201,006,786.24, 277,397,704.32 and 111,698,396.73

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Solution

The fourth proportional to 201,006,786.24, 277,397,704.32 and 111,698,396.73 is: 154,148,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,006,786.24 : 277,397,704.32 = 111,698,396.73 : x
  2. Step 2: Convert to fraction form
    201,006,786.24/277,397,704.32 = 111,698,396.73/x
  3. Step 3: Cross multiply
    201,006,786.24x = 277,397,704.32 × 111,698,396.73
  4. Step 4: Simplify right side
    201,006,786.24x = 30,984,878,829,126,596
  5. Step 5: Solve for x
    x = 30,984,878,829,126,596/201,006,786.24
  6. Step 6: Final answer
    x = 154,148,421.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.