Finding the Fourth Proportional to 2,625,380,873,318, 3,942,578,018,673.20 and 1,611,452,299,293.20
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Solution
The fourth proportional to 2,625,380,873,318, 3,942,578,018,673.20 and 1,611,452,299,293.20 is: 2,419,944,655,612.72
Step by Step Solution
- Step 1: Write the proportion equation
2,625,380,873,318 : 3,942,578,018,673.20 = 1,611,452,299,293.20 : x - Step 2: Convert to fraction form
2,625,380,873,318/3,942,578,018,673.20 = 1,611,452,299,293.20/x - Step 3: Cross multiply
2,625,380,873,318x = 3,942,578,018,673.20 × 1,611,452,299,293.20 - Step 4: Simplify right side
2,625,380,873,318x = 6,353,276,413,333,757,400,973,312 - Step 5: Solve for x
x = 6,353,276,413,333,757,400,973,312/2,625,380,873,318 - Step 6: Final answer
x = 2,419,944,655,612.72
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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.