You should alter "include/orders.php" script.
Find and replace this code:
PHP Code:
if (!empty($payment_methods) && !empty($active_modules['Google_Checkout']))
array_unshift($payment_methods, array('payment_method'=>"Google Checkout", 'paymentid' => 0));
with this one:
PHP Code:
if (!empty($payment_methods) && !empty($active_modules['Google_Checkout']))
array_unshift($payment_methods, array('payment_method'=>"Google Checkout", 'paymentid' => '0'));