  The non-linear duality relation between the gravity and dual gravity fields
are found in E theory by carrying out $E_{11}$ variations of previously found
duality relations. We also find the dual graviton equation of motion up to the
addition of some very specific terms whose coefficients are not determined.
Using the calculations in this paper this ambiguity was resolved in reference
[15] where the full non-linear dual gravity equation was found. As a result the
equations of motion in E theory have now been found at the full non-linear
level up to, and including, level three, which contains the dual graviton
field. When truncated to contain fields at levels three and less, and the
spacetime is restricted to be the familiar eleven dimensional space time, the
equations are equivalent to those of eleven dimensional supergravity.
