Amazon VPC, SSH from NAT instance to ec2 instance on private subnet

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http://serverfault.com – I setup a basic Amazon VPC setup with a private subnet and a public subnet. This comes with a NAT instance for PAT translation from the Internet to the private subnet. Is it possible to SSH to servers on a private subnet from the NAT instance? I launched an ec2 instance into my private subnet, but I'm not able to ping it or SSH into it. I'm not sure if there's something that the NAT instance is configured with that's preventing that. (HowTos)