Finding the Fourth Proportional to 795,127,543,622.88, 1,192,858,844,671.60 and 257,863,611,265.10
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Solution
The fourth proportional to 795,127,543,622.88, 1,192,858,844,671.60 and 257,863,611,265.10 is: 386,849,747,419.17
Step by Step Solution
- Step 1: Write the proportion equation
795,127,543,622.88 : 1,192,858,844,671.60 = 257,863,611,265.10 : x - Step 2: Convert to fraction form
795,127,543,622.88/1,192,858,844,671.60 = 257,863,611,265.10/x - Step 3: Cross multiply
795,127,543,622.88x = 1,192,858,844,671.60 × 257,863,611,265.10 - Step 4: Simplify right side
795,127,543,622.88x = 307,594,889,416,533,826,600,960 - Step 5: Solve for x
x = 307,594,889,416,533,826,600,960/795,127,543,622.88 - Step 6: Final answer
x = 386,849,747,419.17
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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.