Valuable is related to Oil. Oil is the opposite of Gas. Gas can Explode. Star can Explode. 
Offering is related to Help. Help is related to Song. you are likely to find Song in/at/on Radio. Radio is related to Control. 
Valuable <--RelatedTo--> Oil <--Antonym--> Gas --CapableOf--> Explode <--CapableOf-- Star 
Offering <--RelatedTo--> Help <--RelatedTo--> Song --AtLocation--> Radio <--RelatedTo--> Control 