Finding the Fourth Proportional to 48,865,195,006,404, 73,305,323,964,168 and 16,660,696,393,259
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Solution
The fourth proportional to 48,865,195,006,404, 73,305,323,964,168 and 16,660,696,393,259 is: 24,993,612,455,991.16
Step by Step Solution
- Step 1: Write the proportion equation
48,865,195,006,404 : 73,305,323,964,168 = 16,660,696,393,259 : x - Step 2: Convert to fraction form
48,865,195,006,404/73,305,323,964,168 = 16,660,696,393,259/x - Step 3: Cross multiply
48,865,195,006,404x = 73,305,323,964,168 × 16,660,696,393,259 - Step 4: Simplify right side
48,865,195,006,404x = 1,221,317,746,576,496,300,228,870,144 - Step 5: Solve for x
x = 1,221,317,746,576,496,300,228,870,144/48,865,195,006,404 - Step 6: Final answer
x = 24,993,612,455,991.16
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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.