| a | × | 1 | ÷ | 101 100 | − | a | × | 1 | ÷ | 101 100 | × | 1 100 | ( | 1 100 | + | 2 100 | + | 3 100 | ) | = | 8781 100 |
| Left side of the equation = | a | × | 100 101 | − | a | × | 1 101 | ( | 1 100 | + | 2 100 | + | 3 100 | ) |
100 101 | a | − | a | × | 1 101 | ( | 1 100 | + | 2 100 | + | 3 100 | ) | = | 8781 100 |
| Left side of the equation = | 100 101 | a | − | a | × | 1 101 | × | 1 100 | − | a | × | 1 101 | × | 2 100 | − | a | × | 1 101 | × | 3 100 |
| = | 100 101 | a | − | a | × | 1 10100 | − | a | × | 1 5050 | − | a | × | 3 10100 |
| = | 4997 5050 | a |
4997 5050 | a | = | 8781 100 |
| a | = | 8781 100 | ÷ | 4997 5050 |
| = | 8781 100 | × | 5050 4997 |
| = | 8781 2 | × | 101 4997 |
| a | = | 886881 9994 |
| a | = | 88.741345 |