Finding the Fourth Proportional to 14,756,147,736,834, 20,364,123,987,878 and 8,171,643,396,029
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Solution
The fourth proportional to 14,756,147,736,834, 20,364,123,987,878 and 8,171,643,396,029 is: 11,277,222,366,517.37
Step by Step Solution
- Step 1: Write the proportion equation
14,756,147,736,834 : 20,364,123,987,878 = 8,171,643,396,029 : x - Step 2: Convert to fraction form
14,756,147,736,834/20,364,123,987,878 = 8,171,643,396,029/x - Step 3: Cross multiply
14,756,147,736,834x = 20,364,123,987,878 × 8,171,643,396,029 - Step 4: Simplify right side
14,756,147,736,834x = 166,408,359,301,459,008,798,326,784 - Step 5: Solve for x
x = 166,408,359,301,459,008,798,326,784/14,756,147,736,834 - Step 6: Final answer
x = 11,277,222,366,517.37
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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.