Finding the Fourth Proportional to 201,584,472,186.36, 278,186,683,213.84 and 108,885,326,197
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Solution
The fourth proportional to 201,584,472,186.36, 278,186,683,213.84 and 108,885,326,197 is: 150,261,810,430.51
Step by Step Solution
- Step 1: Write the proportion equation
201,584,472,186.36 : 278,186,683,213.84 = 108,885,326,197 : x - Step 2: Convert to fraction form
201,584,472,186.36/278,186,683,213.84 = 108,885,326,197/x - Step 3: Cross multiply
201,584,472,186.36x = 278,186,683,213.84 × 108,885,326,197 - Step 4: Simplify right side
201,584,472,186.36x = 30,290,447,745,400,476,532,736 - Step 5: Solve for x
x = 30,290,447,745,400,476,532,736/201,584,472,186.36 - Step 6: Final answer
x = 150,261,810,430.51
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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.