Finding the Fourth Proportional to 654,878,857,500.69, 981,440,218,825.50 and 509,676,491,135.67
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Solution
The fourth proportional to 654,878,857,500.69, 981,440,218,825.50 and 509,676,491,135.67 is: 763,831,357,908.63
Step by Step Solution
- Step 1: Write the proportion equation
654,878,857,500.69 : 981,440,218,825.50 = 509,676,491,135.67 : x - Step 2: Convert to fraction form
654,878,857,500.69/981,440,218,825.50 = 509,676,491,135.67/x - Step 3: Cross multiply
654,878,857,500.69x = 981,440,218,825.50 × 509,676,491,135.67 - Step 4: Simplify right side
654,878,857,500.69x = 500,217,006,990,404,947,542,016 - Step 5: Solve for x
x = 500,217,006,990,404,947,542,016/654,878,857,500.69 - Step 6: Final answer
x = 763,831,357,908.63
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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.