I wan to update a specific node value on Firebase database. Lets say the new longitude value is 72.7665443 that I want to set in Firebase in place of longitude 25.
For this purpose, I need a key that is KZaouoZ8jRsZIYL_9Xg. How can I get the key of specific node? Is there an official method of updating the node?

Generally in no-sql databases you get the concept of Key-Value pairs, in this case it is similar, it is a node with a value.
Please provide more details about the problem... You need the key to access the value, in this case UsersDatabase seems to be a container of User data, probably linked to a FirebaseAuth account, if that is the case then your user's UUID should match the key on the database, here is how to get it:
String userUid = FirebaseAuth.getInstance().getCurrentUser().getUid();
This scenario would be very simple, you get your database reference on the UsersDatabase node, and then you access to it's child object:
DatabaseReference databaseReference = FirebaseDatabase.getInstance()
.getReference("UsersDatabase");
databaseReference.child(user.getUid()).setValue(/*YOUR OBJECT CLASS GOES HERE*/);
If not, then you can use alternatively an ad-hoc query to get the specific node by another field, for example:
DatabaseReference databaseReference = FirebaseDatabase.getInstance()
.getReference("UsersDatabase");
Query filteredData = databaseReference
.orderByChild("name")
.startAt("Gulfad")
.endAt("Gulfad");
Note: You should have a way to access the keys of those items. Querying items that way use to be hard for the performance of the database.
When you're creating UsersDatabase you have to save that unique key in your sharedpreference class.
DatabaseReference databaseReference;
databaseReference=FirebaseDatabase.getInstance().getReference("UsersDatabase");
String uniqueKey=sharedprefrence.getUniqueKey();
Map<String, Object> taskMap = new HashMap<String, Object>();
taskMap.put("longitude", longitudeValue);
databaseReference.getReference("UsersDatabase").getChild(uniqueKey).updateChildren(taskMap);
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