Step 1: Recall acidic oxide trends.
Acidic character increases with electronegativity and oxidation state of the central atom.
Step 2: Analyze each oxide.
- III. N\(_2\)O\(_5\) → N in +5 oxidation → most acidic
- I. N\(_2\)O\(_3\) → N in +3 oxidation → moderately acidic
- II. P\(_2\)O\(_3\) → P in +3 oxidation → weaker acid than N\(_2\)O\(_3\)
- IV. As\(_2\)O\(_3\) → As in +3 oxidation → least acidic
Step 3: Arrange in decreasing order.
Acidic order: III > I > II > IV
Step 4: Conclusion.
\[
\boxed{\text{III \gt I \gt II \gt IV}}
\]