simple question for using multi-IP on Linux

Hello,

i have a one server, and using multi-IP, i mean internet true IP, any
IP can connect IN/OUT on Internet, however i just understand config to
service, http, smtp, ftp, etc...

but i don't know how to manual control Outbound connection using which
IP.

e.g:
eth0 111.111.111.111 default Outbound IP
eth0:0 111.111.111.112
eth0:1 111.111.111.113

#ping google.com
.....................

that is using default Outbound IP to ping, how can i using my other IP
to Outbound connection by that one ping ? i just want to one time, so
not need change default Outbound IP and other thing, just one time
Outbound connection is okay.

Thank You Very Much.
.