Finding the Fourth Proportional to 16,251,310,976,269, 22,426,812,807,911 and 8,943,446,719,821
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Solution
The fourth proportional to 16,251,310,976,269, 22,426,812,807,911 and 8,943,446,719,821 is: 12,341,958,487,892.96
Step by Step Solution
- Step 1: Write the proportion equation
16,251,310,976,269 : 22,426,812,807,911 = 8,943,446,719,821 : x - Step 2: Convert to fraction form
16,251,310,976,269/22,426,812,807,911 = 8,943,446,719,821/x - Step 3: Cross multiply
16,251,310,976,269x = 22,426,812,807,911 × 8,943,446,719,821 - Step 4: Simplify right side
16,251,310,976,269x = 200,573,005,442,951,232,851,279,872 - Step 5: Solve for x
x = 200,573,005,442,951,232,851,279,872/16,251,310,976,269 - Step 6: Final answer
x = 12,341,958,487,892.96
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.