There are several synonyms that can be used in place of the phrase "banked on." Some options include relied on, counted on, trusted, leaned on, depended on, put faith in, and had confidence in. These phrases all convey a sense of trust or belief in something or someone. They can be used to describe situations where someone is placing their hopes or expectations on a particular outcome or relying on another person's actions. It is important to choose the right synonym depending on the context of the sentence. The use of an appropriate synonym can help to clarify the intended meaning and make the writing more engaging for the reader.