Finding the Fourth Proportional to 204,405,996.42, 282,081,422.70 and 116,299,991.97
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Solution
The fourth proportional to 204,405,996.42, 282,081,422.70 and 116,299,991.97 is: 160,494,641.89
Step by Step Solution
- Step 1: Write the proportion equation
204,405,996.42 : 282,081,422.70 = 116,299,991.97 : x - Step 2: Convert to fraction form
204,405,996.42/282,081,422.70 = 116,299,991.97/x - Step 3: Cross multiply
204,405,996.42x = 282,081,422.70 × 116,299,991.97 - Step 4: Simplify right side
204,405,996.42x = 32,806,067,194,896,172 - Step 5: Solve for x
x = 32,806,067,194,896,172/204,405,996.42 - Step 6: Final answer
x = 160,494,641.89
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.