Finding the Fourth Proportional to 795,127,543,648.94, 1,192,858,844,710.50 and 257,863,611,291.14
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Solution
The fourth proportional to 795,127,543,648.94, 1,192,858,844,710.50 and 257,863,611,291.14 is: 386,849,747,458.17
Step by Step Solution
- Step 1: Write the proportion equation
795,127,543,648.94 : 1,192,858,844,710.50 = 257,863,611,291.14 : x - Step 2: Convert to fraction form
795,127,543,648.94/1,192,858,844,710.50 = 257,863,611,291.14/x - Step 3: Cross multiply
795,127,543,648.94x = 1,192,858,844,710.50 × 257,863,611,291.14 - Step 4: Simplify right side
795,127,543,648.94x = 307,594,889,457,626,731,511,808 - Step 5: Solve for x
x = 307,594,889,457,626,731,511,808/795,127,543,648.94 - Step 6: Final answer
x = 386,849,747,458.17
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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.