1. **State the problem:** Solve the equation $$190=\frac{10(1+g)}{0.1-g}$$ for the variable $g$. 2. **Write down the formula and rules:** We have a rational equation where $g$ appears in both numerator and denominator. To solve, multiply both sides by the denominator to clear the fraction. 3. **Multiply both sides by $(0.1 - g)$:** $$190(0.1 - g) = 10(1 + g)$$ 4. **Distribute on the left side:** $$19 - 190g = 10 + 10g$$ 5. **Bring all terms involving $g$ to one side and constants to the other:** $$-190g - 10g = 10 - 19$$ 6. **Simplify both sides:** $$-200g = -9$$ 7. **Divide both sides by $-200$ to isolate $g$:** $$g = \frac{-9}{-200} = \frac{9}{200}$$ 8. **Final answer:** $$g = 0.045$$