Finding the Fourth Proportional to 199,432,981,093.23, 299,167,861,699.10 and 65,128,175,060.18
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Solution
The fourth proportional to 199,432,981,093.23, 299,167,861,699.10 and 65,128,175,060.18 is: 97,698,268,171.65
Step by Step Solution
- Step 1: Write the proportion equation
199,432,981,093.23 : 299,167,861,699.10 = 65,128,175,060.18 : x - Step 2: Convert to fraction form
199,432,981,093.23/299,167,861,699.10 = 65,128,175,060.18/x - Step 3: Cross multiply
199,432,981,093.23x = 299,167,861,699.10 × 65,128,175,060.18 - Step 4: Simplify right side
199,432,981,093.23x = 19,484,256,869,117,205,676,032 - Step 5: Solve for x
x = 19,484,256,869,117,205,676,032/199,432,981,093.23 - Step 6: Final answer
x = 97,698,268,171.65
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.