Finding the Fourth Proportional to 161,316,701,006.68, 222,646,195,121.19 and 96,215,306,052.53
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Solution
The fourth proportional to 161,316,701,006.68, 222,646,195,121.19 and 96,215,306,052.53 is: 132,794,507,148.58
Step by Step Solution
- Step 1: Write the proportion equation
161,316,701,006.68 : 222,646,195,121.19 = 96,215,306,052.53 : x - Step 2: Convert to fraction form
161,316,701,006.68/222,646,195,121.19 = 96,215,306,052.53/x - Step 3: Cross multiply
161,316,701,006.68x = 222,646,195,121.19 × 96,215,306,052.53 - Step 4: Simplify right side
161,316,701,006.68x = 21,421,971,805,017,275,891,712 - Step 5: Solve for x
x = 21,421,971,805,017,275,891,712/161,316,701,006.68 - Step 6: Final answer
x = 132,794,507,148.58
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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.