Building off the partnership that kicked off last year, Mozilla and Microsoft have just announced the existence of another joint venture with the rollout of the Firefox with Bing browser. As the name suggests, the new version of Mozilla’s popular browser uses Microsoft Bing as its search engine of choice in the search box and AwesomeBar. In addition, it sets the default home page to Bing.com. Mozilla officially announced Firefox with Bing in a short blog post. Microsoft’s Bing team did the same, noting that they were excited to make it even easier for members of the Mozilla Firefox communi…