Answer:
[tex]\boxed{11736111.1}[/tex]
Explanation:
Given that the radius of a gold atom is [tex]144[/tex] pm, the scale factor between a picometer and a millimeter is [tex]1000000000[/tex], then the solution would be[tex]\dfrac{2\cdot144x}{1000000000}=3.38\\\\288x = 3380000000\\x=\boxed{11736111.1}[/tex]