"When I do that from the same computer , the ping finishes with no problem" – (1) Does
DB_Host.intranet.com resolve to the expected address here and there? (2) What is the output of cat /proc/sys/net/ipv4/icmp_echo_ignore_all on the system you want to ping? (3) A firewall on any end may block certain network packets. Check the firewalls.