Fractal Fractions

Algebra Level 2

34+34+34+34+34+34+34+...4444444= ?\large \frac { 3 }{ 4 } +\frac { \frac { 3 }{ 4 } +\frac { \frac { 3 }{ 4 } +\frac { \frac { 3 }{ 4 } +\frac { \frac { 3 }{ 4 } +\frac { \frac { 3 }{ 4 } +\frac { \frac { 3 }{ 4 } +\frac { ... }{ 4 } }{ 4 } }{ 4 } }{ 4 } }{ 4 } }{ 4 } }{ 4 } = \ ?

(This fraction goes on indefinitely)

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