Final answer:
The Inn River flows through Innsbruck in Austria, entering Germany and emptying into the Danube at Passau.
Step-by-step explanation:
The country with the city of Innsbruck, through which the Inn River flows and eventually enters Germany, emptying into the Danube River at the German city of Passau, is Austria.
Austria, notable for its rich history and cultural significance, is peppered with important rivers such as the Danube that play a vital role in European transportation and economy. At the same time, its Alpine landscapes serve as a testament to the country's diverse geography.