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降ってきた

started falling

→ 降る
phrase Uncommon #11,541
started falling Used for something falling or coming down toward the speaker or the current location; with rain or snow, it often means it started to fall.
JA: 急に雪が降ってきた。
EN: It suddenly started snowing.

雪がどんどん降ってきた。

The snow started coming down harder and harder.

雨が滝のように降ってきた。

The rain came down in torrents.

ほんとに降ってきた！

It really started raining!

降ってきた

It started raining.

— 自転車泥棒 (1948)

子供は子供だったころブルーベリーがいっぱい降ってきた

When the child was young, lots of blueberries fell from the sky.

— ベルリン・天使の詩 (1987)