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use the titel as required by the publisher.

in this case use "Cloudy With A Chance Of Meatballs" as written on sony pictures website. click

in my opinion.

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Quoting CharlieM:

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We know from "Standard capitalization rules"

First and last word is capitalized. 
Chance, used as a noun is capitalized.
Per the rules at invelos, "a" (article) and "of" (preposition) are not capitalized

So, the only word left in question is "with" (preposition).  According to the poll, not much question there either.

then are all of this profiles false?

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Quoting CharlieM:

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I wonder if this is covererd by the rules

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For English titles do not capitalize joining words such as "of", "the", "a", "in", etc. unless they are the first, last or only word of the title.

In this rule, he calls them joining words. "the" and "a" are articles, "in" and "of" are prepositions.

Maybe, the rules idea of "joining words" are "articles" and "prepositions".

The problem here, and I have mentioned it before, is that the rule is badly written.  There is a proper term for 'joining words', and that term is conjunction.  If they had left it at that, the rule would be fine as there is a finite list of conjunctions.  The problem is created by the examples because none of the examples are joining word.