Someone said that $0. \overline{9} = 1$

Statement One: $\text{Let} \ 0.4\overline{9} = x$

Statement Two: $\implies 10x = 4.\overline{9}$

Statement Three: $100x = 49.\overline{9}$

Statement Four: $\implies x = 0.4\overline{9} = \cfrac{45}{90} = \cfrac{1}{2}$

Since from Statement Four: , $0.4\overline{9} = \cfrac{45}{90} = \cfrac{1}{2}$ , multiplying both sides by 2,

Statement Five: $\implies \left[ 0.4\overline{9} \right ] \cdot 2 = \left[ \cfrac{1}{2} \right ] \cdot 2 = 1$

Upon multiplying, we see that

Statement Six: $\left[ 0.4\overline{9} \right ] \cdot 2 = 0.\overline{9}8 = 1$

Statement Seven: But upon searching, famously, $1 = 0.\overline{9}$

Statement Eight: $\therefore 0.\overline{9}8 = 0.\overline{9}$

But, it will break the "reflexive property of equality" .

Which Statement Is The Start Of The Mistake In The Said Argument?