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Let's start at the Lost City of Petra. Break all the crates that you can in order to get the Geocache item - Anubis' bust, bowl, and column piece. Dusting the columns will get you a crescent moon and elephant. Now for the trickier part; to get the map of Egypt, place the stone book on the podium and replace the column piece as well as the horse leg, the statue head, and the broken sword.
Then head on to the Fortress of Babylon where the Geocache item is a Roman Centurian Helmet again, break vases and burn baskets and rugs to get the pocket watch, the gravy cup and the biscuit can. The sun symbol will be found only if you dust the walkway above the music book, and getting the four coins means you have the break the keystones in each four arches.
When you're done with that, head to the Temple of Ra with the Cobra Idol as your Geocache item. You'll need the wings to get the pipe and the blue castle. The blue gem is inside the vase so break that. Finally, attaining the Fertility idol means you have to place the necklaces on the statues in order of yellow - green - red - blue. The blue gem has to be affixed to the wings in order for the compartment to open and the idol to come out. After this, head on to the Great Sphinx.
This time you'll find the Geocache item - a Napoleonic cannonball - on the upper left palm tree. Dust the statues to get the camel and the eagle before breaking the crate that has the digging spade. Now you have to arrange the stone tables by placing these items from right to left in the center: 5 feathers, 4 beetles and 3 feathers.