Finding the Fourth Proportional to 199,432,981,113.49, 299,167,861,729.05 and 65,128,175,078.17
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Solution
The fourth proportional to 199,432,981,113.49, 299,167,861,729.05 and 65,128,175,078.17 is: 97,698,268,198.50
Step by Step Solution
- Step 1: Write the proportion equation
199,432,981,113.49 : 299,167,861,729.05 = 65,128,175,078.17 : x - Step 2: Convert to fraction form
199,432,981,113.49/299,167,861,729.05 = 65,128,175,078.17/x - Step 3: Cross multiply
199,432,981,113.49x = 299,167,861,729.05 × 65,128,175,078.17 - Step 4: Simplify right side
199,432,981,113.49x = 19,484,256,876,451,319,513,088 - Step 5: Solve for x
x = 19,484,256,876,451,319,513,088/199,432,981,113.49 - Step 6: Final answer
x = 97,698,268,198.50
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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.