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Finding the Fourth Proportional to 624,479,747.84, 861,783,063.41 and 342,177,333.71

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Solution

The fourth proportional to 624,479,747.84, 861,783,063.41 and 342,177,333.71 is: 472,205,274.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,479,747.84 : 861,783,063.41 = 342,177,333.71 : x
  2. Step 2: Convert to fraction form
    624,479,747.84/861,783,063.41 = 342,177,333.71/x
  3. Step 3: Cross multiply
    624,479,747.84x = 861,783,063.41 × 342,177,333.71
  4. Step 4: Simplify right side
    624,479,747.84x = 294,882,630,870,616,192
  5. Step 5: Solve for x
    x = 294,882,630,870,616,192/624,479,747.84
  6. Step 6: Final answer
    x = 472,205,274.70

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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.