Finding the Fourth Proportional to 2,275,697,683,266.40, 3,413,747,198,180.80 and 642,057,472,568.09
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Solution
The fourth proportional to 2,275,697,683,266.40, 3,413,747,198,180.80 and 642,057,472,568.09 is: 963,142,826,117.55
Step by Step Solution
- Step 1: Write the proportion equation
2,275,697,683,266.40 : 3,413,747,198,180.80 = 642,057,472,568.09 : x - Step 2: Convert to fraction form
2,275,697,683,266.40/3,413,747,198,180.80 = 642,057,472,568.09/x - Step 3: Cross multiply
2,275,697,683,266.40x = 3,413,747,198,180.80 × 642,057,472,568.09 - Step 4: Simplify right side
2,275,697,683,266.40x = 2,191,821,898,050,362,796,933,120 - Step 5: Solve for x
x = 2,191,821,898,050,362,796,933,120/2,275,697,683,266.40 - Step 6: Final answer
x = 963,142,826,117.55
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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.