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Try to connect the charger, and press and hold down the power button for 30 seconds. This little trick forces the Kindle to power off and load fresh software. If you are having a physical issue with the battery it may not help, but if its only a software bug this should work for you. Try it and let me know what happens.
These are like computers, sometimes the firmware locks up and you have to force it off and back on to load everything fresh. Hopefully your Kindle will be operational again! If I've been of any help, I hope you'll rate my service positively.