Metabolism of fats produces more ATP molecules per gram than metabolism of carbohydrates or proteins.

Answer

**Step-by-Step Solution:**

1. **Understanding Triglycerides**:
- Triglycerides, also known as neutral fats, are composed of three fatty acids and one glycerol molecule. Examples include butter and vegetable oils.

2. **Energy Yield from Triglycerides**:
- Triglycerides are a significant source of energy. When metabolized, they yield more energy compared to carbohydrates and proteins.

3. **Metabolism of Glycerol**:
- The glycerol component of triglycerides is converted into glyceraldehyde-3-phosphate, which can enter the glycolytic pathway for further energy production.

4. **Metabolism of Fatty Acids**:
- The fatty acids undergo beta-oxidation, where they are broken down into two-carbon units. These units combine with coenzyme A to form acetyl coenzyme A.

5. **Entry into the Citric Acid Cycle**:
- Acetyl coenzyme A then enters the citric acid cycle (Krebs cycle), where it is further oxidized to produce ATP.

6. **Comparison with Carbohydrates and Proteins**:
- While carbohydrates and proteins also provide energy, the breakdown of fats yields more ATP molecules per gram due to the higher number of carbon atoms in fatty acids compared to carbohydrates and proteins.

7. **Conclusion**:
- Therefore, it is accurate to state that the metabolism of fats produces more ATP molecules per gram than the metabolism of carbohydrates or proteins.

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