Does the oil prices with the dollar price increase always decrease ?

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The relation between the oil prices and the dollar prices extremely thorny . In the time where the decrease of the dollar leads to raising the oil prices, the oil price increase contributes to the reduction of the dollar because of the rise of the bill of the American oil imports and the increase of the balance of payment deficit . Ending the relation between the dollar and the oil prices requires two radical solutions distant from the reality one of them pricing the oil without the dollar . If this was not possible, the decrease of a reliance is The United States on the oil that will ease this relation remarkably .
The problem
He is sold the oil and he is bought by the dollar . When oil countries export the oil, receives their revenues by the dollar . It when she imports commodities and services, imports it from different countries, including The United States, the matter that forces her most of the time to transfer part of the dollars that she got from selling the oil to other currencies . With the decrease of the dollar the value of the prices of the other currencies rises . This means that the oil countries need more dollars to purchase  amount herself from the commodities and the services from Europe and Asia . This is the condition of  the decrease of the purchasing power of the oil exports  .
An example
If we assumed that the dollar equals the euro, and that the oil price is 80 dollars of the barrel, the oil price estimated by the euro he is 80 Ayda . And if we assumed a Swiss hour price it is 800 euros, we need in this case to export  ten barrels of oil to purchase this watch ( 80 dollars or an euro * ten barrels = 800 ) . , if the dollar price decreased for the euro so that each euro became equaling a dollar and half and the oil prices remained in their condition at 80 dollars to the barrel, we need 1200 dollars to purchase  this watch or 15 barrels of oil ( 15 the barrel of the × of 80 dollars = 1200 dollars = 800 euros ) . In this case th

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