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Out of $10$ countries -- Country $1$ through Country $10$ -- Country $9$ has the highest gross domestic product (GDP), and Country $10$ has the highest GDP per capita. GDP per capita is the GDP of a country divided by its population. The table below provides the following data about Country $1$ through Country $8$ for the year $2024$.

  • Column $1$ gives the country's identity.
  • Column $2$ gives the country's GDP as a fraction of the GDP of Country $9$.
  • Column $3$ gives the country's GDP per capita as a fraction of the GDP per capita of Country $10$.
  • Column $4$ gives the country's annual GDP growth rate.
  • Column $5$ gives the country's annual population growth rate.

\begin{array}{|c|c|c|c|c|}
\hline \textbf{Country} & \textbf{GDP} & \textbf{GDP per capita} & \textbf{GDP growth rate} & \textbf{Population growth rate} \\
\hline \text{Country 1} & 0.15 & 0.41 & 0.2\% & -0.12\% \\
\hline \text{Country 2} & 0.14 & 0.25 & 0.9\% & -0.41\% \\
\hline \text{Country 3} & 0.13 & 0.02 & 6.5\% & 0.70\% \\
\hline \text{Country 4} & 0.12 & 0.38 & 0.5\% & 0.49\% \\
\hline \text{Country 5} & 0.10 & 0.36 & 0.7\% & 0.31\% \\
\hline \text{Country 6} & 0.08 & 0.08 & 3.2\% & 0.61\% \\
\hline \text{Country 7} & 0.08 & 0.30 & 0.7\% & -0.11\% \\
\hline \text{Country 8} & 0.07 & 0.41 & 1.2\% & 0.71\% \\
\hline
\end{array}
Assume that the GDP growth rates and population growth rates of the countries will remain constant for the next three years.
For how many countries among Country $1$ through Country $8$ will the GDP per capita in $2027$ be lower than that in $2024$ ?

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