Finding the Fourth Proportional to 199,363,001,987.68, 299,045,269,369.20 and 48,269,051,578.62
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Solution
The fourth proportional to 199,363,001,987.68, 299,045,269,369.20 and 48,269,051,578.62 is: 72,403,762,922.95
Step by Step Solution
- Step 1: Write the proportion equation
199,363,001,987.68 : 299,045,269,369.20 = 48,269,051,578.62 : x - Step 2: Convert to fraction form
199,363,001,987.68/299,045,269,369.20 = 48,269,051,578.62/x - Step 3: Cross multiply
199,363,001,987.68x = 299,045,269,369.20 × 48,269,051,578.62 - Step 4: Simplify right side
199,363,001,987.68x = 14,434,631,531,524,228,382,720 - Step 5: Solve for x
x = 14,434,631,531,524,228,382,720/199,363,001,987.68 - Step 6: Final answer
x = 72,403,762,922.95
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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.