Is it permissible to deal with and work with "Oracle" company's programs, despite the presence of a symbol resembling a cross on its logo, and the questioner's concern that its name, "The Oracle," might be a reason for the money being unlawful?

There is no harm in dealing with the aforementioned company, and its name or symbol does not cause any detriment, as long as the use of its programs is for a permissible purpose. The word mentioned has more than one meaning, and not everything with two intersecting lines is considered a cross.