Finding the Fourth Proportional to 16,251,310,976,270, 22,426,812,807,913 and 8,943,446,719,822
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Solution
The fourth proportional to 16,251,310,976,270, 22,426,812,807,913 and 8,943,446,719,822 is: 12,341,958,487,894.68
Step by Step Solution
- Step 1: Write the proportion equation
16,251,310,976,270 : 22,426,812,807,913 = 8,943,446,719,822 : x - Step 2: Convert to fraction form
16,251,310,976,270/22,426,812,807,913 = 8,943,446,719,822/x - Step 3: Cross multiply
16,251,310,976,270x = 22,426,812,807,913 × 8,943,446,719,822 - Step 4: Simplify right side
16,251,310,976,270x = 200,573,005,442,991,536,824,385,536 - Step 5: Solve for x
x = 200,573,005,442,991,536,824,385,536/16,251,310,976,270 - Step 6: Final answer
x = 12,341,958,487,894.68
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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.