Finding the Fourth Proportional to 6,955,136,706,611.40, 10,437,470,573,013 and 2,427,438,198,822.20
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Solution
The fourth proportional to 6,955,136,706,611.40, 10,437,470,573,013 and 2,427,438,198,822.20 is: 3,642,820,527,730.28
Step by Step Solution
- Step 1: Write the proportion equation
6,955,136,706,611.40 : 10,437,470,573,013 = 2,427,438,198,822.20 : x - Step 2: Convert to fraction form
6,955,136,706,611.40/10,437,470,573,013 = 2,427,438,198,822.20/x - Step 3: Cross multiply
6,955,136,706,611.40x = 10,437,470,573,013 × 2,427,438,198,822.20 - Step 4: Simplify right side
6,955,136,706,611.40x = 25,336,314,768,014,394,328,612,864 - Step 5: Solve for x
x = 25,336,314,768,014,394,328,612,864/6,955,136,706,611.40 - Step 6: Final answer
x = 3,642,820,527,730.28
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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.