To calculate \( 4.82 + 10^{12} \), we start by noting what \( 10^{12} \) represents.
The expression \( 10^{12} \) equals \( 1,000,000,000,000 \) (which is 1 followed by 12 zeros).
Next, we can write the equation more explicitly:
\[ 4.82 + 1,000,000,000,000 \]
Since \( 10^{12} \) is significantly larger than \( 4.82 \), when we add \( 4.82 \) to \( 10^{12} \), the value will be very close to \( 10^{12} \).
Now performing the addition explicitly:
\[ 1,000,000,000,000 + 4.82 = 1,000,000,000,000 + 0.00000000000482 \]
Maintaining alignment of decimal places (in this case unnecessary as the integer part overshadows the decimal part), we can write it as:
\[ 1,000,000,000,000.00 + 0.00 + 4.82 \]
Adding gives:
\[ 1,000,000,000,000.00 + 0.00 + 4.82 = 1,000,000,000,000.00 + 4.82 = 1,000,000,000,004.82 \]
Thus, the final result of \( 4.82 + 10^{12} \) is:
\[ \boxed{1,000,000,000,004.82} \]