How do we know God can justify the ungodly?

In Romans 4:5, Paul clearly states, 'But to him that worketh not, but believeth on him that justifieth the ungodly, his faith is counted for righteousness.' This is foundational in understanding God's method of justification—He is able to justify sinners because Christ fulfills the requirements of the law on their behalf. The atoning sacrifice of Christ, which removed the penalty of sin, allows God to remain just while justifying those who have faith in Him. This profound mystery showcases not only God's mercy but also His commitment to uphold divine justice, thus providing eternal hope for every believer.