Finding the Fourth Proportional to 198,287,296,128.26, 297,489,299,403.55 and 63,979,266,655.41
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Solution
The fourth proportional to 198,287,296,128.26, 297,489,299,403.55 and 63,979,266,655.41 is: 95,987,728,842.49
Step by Step Solution
- Step 1: Write the proportion equation
198,287,296,128.26 : 297,489,299,403.55 = 63,979,266,655.41 : x - Step 2: Convert to fraction form
198,287,296,128.26/297,489,299,403.55 = 63,979,266,655.41/x - Step 3: Cross multiply
198,287,296,128.26x = 297,489,299,403.55 × 63,979,266,655.41 - Step 4: Simplify right side
198,287,296,128.26x = 19,033,147,213,670,827,163,648 - Step 5: Solve for x
x = 19,033,147,213,670,827,163,648/198,287,296,128.26 - Step 6: Final answer
x = 95,987,728,842.49
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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.