The product of the predecessor of 201 and the successor of 4781 is :

The correct answer is 956400.

Step 1: Understand the terms "Predecessor" and "Successor"
- The predecessor of a number is the number that comes just before it (obtained by subtracting 1 from the number).
- The successor of a number is the number that comes just after it (obtained by adding 1 to the number).

Step 2: Find the predecessor of 201
Predecessor of 201 = $201-1=200$

Step 3: Find the successor of 4781
Successor of 4781 = $4781+1=4782$

Step 4: Calculate their product
Product = $200\times 4782$

We can break down the multiplication:
$4782\times 2=9564$

Now, appending the two zeros from 200:
$9564\times 100=956400$

Hence, the product of the predecessor of 201 and the successor of 4781 is 956400.