This is something you could test.
CREATE TABLE #S(FirstName VARCHAR(20), LastName VARCHAR(20), Address VARCHAR(20), City VARCHAR(20), State VARCHAR(2)
, SSN VARCHAR(20), SomeNumber VARCHAR(20))
INSERT INTO #S
SELECT 'John', 'Doe', '123 Street', 'Atlanta', 'GA', '123456789', '001' UNION ALL
SELECT 'John', 'Doe', '123 Street', 'Atlanta', 'GA','123456789', '004' UNION ALL
SELECT 'John', 'Doe', '123 Street', 'Atlanta', 'GA','123456789', '007'
;with cte
as (select row_number() over(partition by FirstName,LastName, Address order by SomeNumber DESC) as rn
,FirstName,LastName, Address,SomeNumber from #S)
SELECT * FROM cte where rn = 1
Results:
rnFirstNameLastName AddressSomeNumber
1John Doe 123 Street007