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Finding the Fourth Proportional to 414,424,398,082.80, 621,636,597,124.20 and 414,424,398,082.80

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Solution

The fourth proportional to 414,424,398,082.80, 621,636,597,124.20 and 414,424,398,082.80 is: 621,636,597,124.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,424,398,082.80 : 621,636,597,124.20 = 414,424,398,082.80 : x
  2. Step 2: Convert to fraction form
    414,424,398,082.80/621,636,597,124.20 = 414,424,398,082.80/x
  3. Step 3: Cross multiply
    414,424,398,082.80x = 621,636,597,124.20 × 414,424,398,082.80
  4. Step 4: Simplify right side
    414,424,398,082.80x = 257,621,372,589,436,603,203,584
  5. Step 5: Solve for x
    x = 257,621,372,589,436,603,203,584/414,424,398,082.80
  6. Step 6: Final answer
    x = 621,636,597,124.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.