To determine the number of moles of Barium Nitrate (BaNO3) present in 6.80 x 10^24 formula units, we can use Avogadro's number (Nₐ), which relates the number of particles (such as atoms, molecules, or formula units) to the amount of substance in moles. Avogadro's number is approximately 6.022 x 10^23 particles per mole.

Step 1: Convert Formula Units to Moles

We can set up a conversion factor using Avogadro's number:

$$1 \text{ mole BaNO}_3 = 6.022 \times 10^{23} \text{ formula units BaNO}_3$$

Using this conversion factor, we can convert the given number of formula units to moles:

$$6.80 \times 10^{24} \text{ formula units BaNO}_3 \times \frac{1 \text{ mole BaNO}_3}{6.022 \times 10^{23} \text{ formula units BaNO}_3} = \boxed{11.31 \text{ moles BaNO}_3}$$

Therefore, 6.80 x 10^24 formula units of Barium Nitrate are equivalent to 11.31 moles of BaNO3.