I honestly am not sure if it will be possible with that amount of data points. Here are some tips that may get the code to run but even then you will find it will probably become very sluggish as LabVIEW has to process 100M points every time it has to redraw the graph, even if you don't, LabVIEW has to decimate the data as it only has 100-1000 pixels that it can use to plot the data.
1. Loading from a binary file is better than text because text has to be converted meaning two copies of the data. If you have text load it a section at a time into a preallocated array (you will have to be very careful about allocations).
2. Use SGL representation, the default in LabVIEW is normally DBL for floating point but single only uses 4 bytes per point.
3. By default on a 32 bit OS LabVIEW has 2GB of virtual memory it can use (hence the problems, in a SGL format each copy of data you have uses 20% of this). If you are on a 32 bit OS enable the 3GB flag so it can use 3GB instead (there is a KB on the NI site for this). Or moving to a 64 bit OS with 32 bit LabVIEW will give it 4GB. The ultimate would be to use 64 bit LabVIEW but you tend to hit limitations of supported tool kits so I tend to suggest this as a last resort when the memory sizes can be avoided through programming.
On top of these you just have to be very careful that any data manipulation you do does not require a data copy.
That is how you try and avoid running out if memory but I would still suggest trying some of the other methods that Shaun and I have suggested. Even if you can get this to run, the programming will be a little easier but the program is going to have poor performance with that much data and is always going to be on the brink, at any point you could add some feature which needs more memory and you are back to square one.