The 2nd piece is 1 unit. The 1st piece is 4 units (4 times the 2nd). The 3rd piece is 1 unit + 120 cm. The whole wire is 840 cm.
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• 1 + 4 + 1 = 6 units, plus 120 → 840 cm
• 6 units → 840 − 120 = 720 cm
• 1 unit (2nd) → 720 ÷ 6 = 120 cm
• Longest = 1st = 4 units → 4 × 120 = 480 cm
The longest piece is 480 cm.
Check: 2nd 120 + 1st 480 + 3rd 240 = 840 cm. ✓