 Pari gbolohun ti o tẹle: Chetverukhin bẹrẹ si han ni awọn iṣẹlẹ kariaye pataki ni ọdun 1965 o si gba akọle orilẹ-ede Soviet akọkọ rẹ ni akoko 1966  67. Ni akoko ti o tẹle, o tun ṣe bi aṣaju orilẹ-ede ati tun gba wura ni 1968 Winter Universiade ni Innsbruck, niwaju Marián Filc ti Czechoslovakia. O pari 5th ni 1968 European Championships ni Västerås, Sweden; 9th ni 1968 Winter Olympics ni Grenoble, France; ati 9th ni awọn : 1968 World Championships ní Geneva, Switzerland. 