Finding the Fourth Proportional to 4,606,095,193,560, 6,356,611,176,203.20 and 2,550,758,371,434.20
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Solution
The fourth proportional to 4,606,095,193,560, 6,356,611,176,203.20 and 2,550,758,371,434.20 is: 3,520,157,202,639.30
Step by Step Solution
- Step 1: Write the proportion equation
4,606,095,193,560 : 6,356,611,176,203.20 = 2,550,758,371,434.20 : x - Step 2: Convert to fraction form
4,606,095,193,560/6,356,611,176,203.20 = 2,550,758,371,434.20/x - Step 3: Cross multiply
4,606,095,193,560x = 6,356,611,176,203.20 × 2,550,758,371,434.20 - Step 4: Simplify right side
4,606,095,193,560x = 16,214,179,171,652,511,744,393,216 - Step 5: Solve for x
x = 16,214,179,171,652,511,744,393,216/4,606,095,193,560 - Step 6: Final answer
x = 3,520,157,202,639.30
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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.