Finding the Fourth Proportional to 101,740,942,398.44, 152,611,377,678.12 and 27,208,988,724.80
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Solution
The fourth proportional to 101,740,942,398.44, 152,611,377,678.12 and 27,208,988,724.80 is: 40,813,473,481.09
Step by Step Solution
- Step 1: Write the proportion equation
101,740,942,398.44 : 152,611,377,678.12 = 27,208,988,724.80 : x - Step 2: Convert to fraction form
101,740,942,398.44/152,611,377,678.12 = 27,208,988,724.80/x - Step 3: Cross multiply
101,740,942,398.44x = 152,611,377,678.12 × 27,208,988,724.80 - Step 4: Simplify right side
101,740,942,398.44x = 4,152,401,254,520,161,042,432 - Step 5: Solve for x
x = 4,152,401,254,520,161,042,432/101,740,942,398.44 - Step 6: Final answer
x = 40,813,473,481.09
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1.5x scale
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.