Long exact sequence for exact sequence $0 \to A \to B \to C \to D \to 0$

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It is known from homological algebra context that if we have a short exact sequence $$0\to A \to B \to C \to 0$$ of $R$-modules, then it induces a long exact sequence,

$$0 \to Hom_R(C,X) \to Hom_R(B, X) \to Hom_R(A, X) \to Ext^1_R(C,X) \to \cdots$$ for any $R$-module $X.$

My question is the following: Let $0 \to A \to B \to C \to D \to 0$ be a exact sequence of $R$-modules. Does there any analogous long exact sequence exist?

Thank you in advance.