To solve the expression \(9999 \times 63 / 99 \times 44 - 66 / 3 \times 55\), we will follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders (i.e., powers and square roots, etc.)
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Given: 

\[9999 \times 63 / 99 \times 44 - 66 / 3 \times 55\]

First, solve the multiplications and divisions from left to right:

1. \(9999 \times 63\):
\[9999 \times 63 = 629937\]

2. \(629937 / 99\):
\[629937 / 99 = 6363\]

3. \(6363 \times 44\):
\[6363 \times 44 = 279972\]

4. \(66 / 3\):
\[66 / 3 = 22\]

5. \(22 \times 55\):
\[22 \times 55 = 1210\]

Finally, subtract the results:
\[279972 - 1210 = 278762\]

So, the answer is:
\[278762\]

Would you like more details or have any questions?

Here are some related questions you might find interesting:
1. How do you simplify expressions with multiple operations?
2. What is the order of operations in mathematics?
3. How do you handle division in complex expressions?
4. What strategies can be used to check the accuracy of manual calculations?
5. How does changing the order of operations affect the result?
6. Can you solve \(8888 \times 72 / 81 \times 55 - 77 / 7 \times 66\)?
7. What are some common mistakes to avoid in multi-step calculations?
8. How can you simplify large multiplications or divisions using factorization?

**Tip:** Always perform multiplication and division from left to right before moving on to addition and subtraction to ensure correct results.

Learn how to solve the arithmetic expression 9999*63/99*44-66/3*55 step-by-step with detailed calculations. This problem involves arithmetic operations including multiplication, division, and subtraction. Suitable for students in Grades 7-9.

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