Finding the Fourth Proportional to 2,182,940,929,175.10, 3,274,411,393,762.80 and 769,161,112,727.10
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Solution
The fourth proportional to 2,182,940,929,175.10, 3,274,411,393,762.80 and 769,161,112,727.10 is: 1,153,741,669,090.70
Step by Step Solution
- Step 1: Write the proportion equation
2,182,940,929,175.10 : 3,274,411,393,762.80 = 769,161,112,727.10 : x - Step 2: Convert to fraction form
2,182,940,929,175.10/3,274,411,393,762.80 = 769,161,112,727.10/x - Step 3: Cross multiply
2,182,940,929,175.10x = 3,274,411,393,762.80 × 769,161,112,727.10 - Step 4: Simplify right side
2,182,940,929,175.10x = 2,518,549,911,152,889,266,438,144 - Step 5: Solve for x
x = 2,518,549,911,152,889,266,438,144/2,182,940,929,175.10 - Step 6: Final answer
x = 1,153,741,669,090.70
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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.