Finding the Fourth Proportional to 795,127,543,649.94, 1,192,858,844,712 and 257,863,611,292.14
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Solution
The fourth proportional to 795,127,543,649.94, 1,192,858,844,712 and 257,863,611,292.14 is: 386,849,747,459.67
Step by Step Solution
- Step 1: Write the proportion equation
795,127,543,649.94 : 1,192,858,844,712 = 257,863,611,292.14 : x - Step 2: Convert to fraction form
795,127,543,649.94/1,192,858,844,712 = 257,863,611,292.14/x - Step 3: Cross multiply
795,127,543,649.94x = 1,192,858,844,712 × 257,863,611,292.14 - Step 4: Simplify right side
795,127,543,649.94x = 307,594,889,459,206,407,061,504 - Step 5: Solve for x
x = 307,594,889,459,206,407,061,504/795,127,543,649.94 - Step 6: Final answer
x = 386,849,747,459.67
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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.