Finding the Fourth Proportional to 776,240,217,571, 1,164,358,764,932 and 729,003,559,116.05
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Solution
The fourth proportional to 776,240,217,571, 1,164,358,764,932 and 729,003,559,116.05 is: 1,093,503,872,267.17
Step by Step Solution
- Step 1: Write the proportion equation
776,240,217,571 : 1,164,358,764,932 = 729,003,559,116.05 : x - Step 2: Convert to fraction form
776,240,217,571/1,164,358,764,932 = 729,003,559,116.05/x - Step 3: Cross multiply
776,240,217,571x = 1,164,358,764,932 × 729,003,559,116.05 - Step 4: Simplify right side
776,240,217,571x = 848,821,683,723,396,320,329,728 - Step 5: Solve for x
x = 848,821,683,723,396,320,329,728/776,240,217,571 - Step 6: Final answer
x = 1,093,503,872,267.17
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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.