Finding the Fourth Proportional to 1,013,872,896,006.30, 1,520,809,344,009.50 and 850,226,481,452.70
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Solution
The fourth proportional to 1,013,872,896,006.30, 1,520,809,344,009.50 and 850,226,481,452.70 is: 1,275,339,722,179.09
Step by Step Solution
- Step 1: Write the proportion equation
1,013,872,896,006.30 : 1,520,809,344,009.50 = 850,226,481,452.70 : x - Step 2: Convert to fraction form
1,013,872,896,006.30/1,520,809,344,009.50 = 850,226,481,452.70/x - Step 3: Cross multiply
1,013,872,896,006.30x = 1,520,809,344,009.50 × 850,226,481,452.70 - Step 4: Simplify right side
1,013,872,896,006.30x = 1,293,032,377,517,585,922,523,136 - Step 5: Solve for x
x = 1,293,032,377,517,585,922,523,136/1,013,872,896,006.30 - Step 6: Final answer
x = 1,275,339,722,179.09
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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.