Resolves the challenge "Preenchimento de Vetor III"

src/main/java/com/tardin/desafio/resolvendo_desafios_em_java/PreenchimentoDeVetorIII.java

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+package com.tardin.desafio.resolvendo_desafios_em_java;
+
+import java.math.BigDecimal;
+import java.text.DecimalFormat;
+import java.util.Locale;
+import java.util.Scanner;
+
+public class PreenchimentoDeVetorIII {
+
+    public static void main(String[] args) {
+        Locale.setDefault(Locale.US);
+        var scanner = new Scanner(System.in);
+        double x = scanner.nextDouble();
+        scanner.close();
+        var n = getBigDecimalArray(x);
+        var formatter = new DecimalFormat("0.0000");
+        for (int i = 0; i < n.length; i++)
+            System.out.printf("N[%d] = %s%n", i, formatter.format(n[i]));
+    }
+
+    public static BigDecimal[] getBigDecimalArray(double x) {
+        var array = new BigDecimal[100];
+        array[0] = new BigDecimal(x);
+        for (int i = 1; i < array.length; i++) array[i] = array[i - 1].divide(BigDecimal.valueOf(2));
+        return array;
+    }
+}