To solve for the missing values in the part to part to whole table, we can start by understanding the ratios given.
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For the first ratio \( 4 : 5 = 9 \):
- Here, \( 4 + 5 = 9 \).
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For the second ratio \( x : x = 36 \):
- This implies \( x + x = 36 \) or \( 2x = 36 \).
- Solving for \( x \), we get \( x = 36 / 2 = 18 \).
- Therefore, \( 18 : 18 = 36 \).
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For the third ratio \( 44 : 55 = 99 \):
- Here, \( 44 + 55 = 99 \).
So the completed table would look like this:
- \( 4 : 5 = 9 \)
- \( 18 : 18 = 36 \)
- \( 44 : 55 = 99 \)
In conclusion:
- The missing value, \( x \), in the second part of the table is \( 18 \).