A radioactive nucleus undergoes a series of deacy according to the scheme.
`Aoverset(alpha)rarrA_(1)overset(beta^(-))rarrA_(2)overset(alpha)rarrA_(3)overset(gamma)rarrA_(4)`
If the mass number and atomic number of `A` are `180` and `72` respectively, what are these numbers for `A_(4)`.

Explanation

To solve the problem of determining the mass number and atomic number of the nucleus \( A_4 \) after a series of radioactive decays, we will follow these steps:

### Step 1: Identify the initial values
The initial mass number \( A \) and atomic number \( Z \) of nucleus \( A \) are given as:
- Mass number \( A = 180 \)
- Atomic number \( Z = 72 \)

### Step 2: Analyze the decay process
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