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Finding the Fourth Proportional to 224,661,814.40, 315,433,532.80 and 224,661,814.40

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Solution

The fourth proportional to 224,661,814.40, 315,433,532.80 and 224,661,814.40 is: 315,433,532.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,661,814.40 : 315,433,532.80 = 224,661,814.40 : x
  2. Step 2: Convert to fraction form
    224,661,814.40/315,433,532.80 = 224,661,814.40/x
  3. Step 3: Cross multiply
    224,661,814.40x = 315,433,532.80 × 224,661,814.40
  4. Step 4: Simplify right side
    224,661,814.40x = 70,865,869,801,449,920
  5. Step 5: Solve for x
    x = 70,865,869,801,449,920/224,661,814.40
  6. Step 6: Final answer
    x = 315,433,532.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.