Finding the Fourth Proportional to 171,314,212,723.16, 236,419,283,251.02 and 94,154,787,433.40
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Solution
The fourth proportional to 171,314,212,723.16, 236,419,283,251.02 and 94,154,787,433.40 is: 129,936,722,737.82
Step by Step Solution
- Step 1: Write the proportion equation
171,314,212,723.16 : 236,419,283,251.02 = 94,154,787,433.40 : x - Step 2: Convert to fraction form
171,314,212,723.16/236,419,283,251.02 = 94,154,787,433.40/x - Step 3: Cross multiply
171,314,212,723.16x = 236,419,283,251.02 × 94,154,787,433.40 - Step 4: Simplify right side
171,314,212,723.16x = 22,260,007,359,656,568,553,472 - Step 5: Solve for x
x = 22,260,007,359,656,568,553,472/171,314,212,723.16 - Step 6: Final answer
x = 129,936,722,737.82
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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.