It's very hard to achieve "cheaply". A decent NAS will allow you to stack them, ie. Connect several together to form a single virtual storage volume. Even this has its limitations though. I know Thecus only support 5 devices in a stack last time I checked. This limits you to 5x8x3Tb (120tb - Although they may support >3Tb now for some models) of storage though.
You could do the same by chaining several PC's like others have suggested but this would require a bit of work.