Arrive is related to Plane. Plane can be used for Travel. Reach entails/necessarily involves Travel. Reach is related to Hold. 
Bill is related to Due. Due is related to Cost. Cost is related to Host. 
Arrive <--RelatedTo--> Plane --UsedFor--> Travel <--Entails-- Reach <--RelatedTo--> Hold 
Bill <--RelatedTo--> Due <--RelatedTo--> Cost <--RelatedTo--> Host 