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Quasibicentennial variation of the energy solar radiation absorbed by the Earth remains uncompensated by the energy emission to space over the interval of time that is determined by the thermal inertia. That is why the debit and credit parts of the average annual energy budget of the terrestrial globe with its air and water envelope are always in an unbalanced state, which is the basic state of the climatic system. The average annual balance of the thermal budget of the system Earth-atmosphere during long time periods will reliably determine the course and value of both the energy excess accumulated by the Earth or the energy deficit in the thermal budget, which, with account for the data of the forecasted variations of the Total Solar Irradiance (TSI) in the future, can define and predict well in advance the direction and amplitude of the forthcoming climate changes with high accuracy. Since the early 90 has been observed a decrease in both the TSI and the portion of energy absorbed by the Earth. The Earth as a planet will also have a negative balance in the energy budget in the future, because the Sun has entered the decline phase of the quasibicentennial cycle of the TSI variations. This will lead to a drop in the temperature and to the beginning of the epoch of the Little Ice Age approximately since the year 2014. The increase in the Bond (global) albedo and the decrease in the greenhouse gases concentration in the atmosphere will lead to an additional reduction of the absorbed solar energy and reduce the greenhouse effect. The influence of the consecutive chain of feedback effects will lead to additional drop of temperature, which can surpass the influence of the effect of the TSI decrease. The start of Grand Maunder-type Minimum of the TSI of the quasibicentennial cycle is to be anticipated around the year 2043 ± 11 and the beginning of the phase of deep cooling of the 19th Little Ice Age in the past 7,500 years in the year 2060 ± 11. Longterm cyclic variations of the TSI are the main fundamental cause of the corresponding climate variations.