Analog Switch Breakdown voltage?
Your circuit doesn't make much sense: for two of the inputs you use an amplifier as attenuator, for a third one a x1 amplifier. Only for the R4 position you use it as a x10 amplifier.
Besides, why did you choose such low resistance values? For the 10 &Omega; most analog switches will have a significant on-resistance, even if they're as low as 1&Omega;: that's 10 %. If you scale all resistances up by a factor 100 you'll have the same attenuation/amplification.

Analog switches with low on-resistances exist, but their inputs are limited to the power supply, and then 40 V is an issue.  

You say you want solid-state, but a relay may be the better performer, especially a reed relay. Low on-resistance of 150 - 200 m&Omega;, low off-capacitance, in the order of 1 pF, capable of switching high voltages and high frequencies.  

Then your configuration. I would replace R2 and R3 by a resistor divider with taps at :10 and :100. Your third relay (for :1) comes at the top of the divider, from where you also go to the x10 amplifier, whose output goes to the last relay. You'll want to protect the input of that amplifier against overvoltage with low-capacitance clamping diodes.