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Finding the Fourth Proportional to 414,424,398,423.80, 621,636,597,635.70 and 414,424,398,423.80

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Solution

The fourth proportional to 414,424,398,423.80, 621,636,597,635.70 and 414,424,398,423.80 is: 621,636,597,635.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,424,398,423.80 : 621,636,597,635.70 = 414,424,398,423.80 : x
  2. Step 2: Convert to fraction form
    414,424,398,423.80/621,636,597,635.70 = 414,424,398,423.80/x
  3. Step 3: Cross multiply
    414,424,398,423.80x = 621,636,597,635.70 × 414,424,398,423.80
  4. Step 4: Simplify right side
    414,424,398,423.80x = 257,621,373,013,392,757,882,880
  5. Step 5: Solve for x
    x = 257,621,373,013,392,757,882,880/414,424,398,423.80
  6. Step 6: Final answer
    x = 621,636,597,635.70

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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.