Finding the Fourth Proportional to 806,780,122,361.60, 1,210,382,442,363.40 and 289,933,840,794.10
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Solution
The fourth proportional to 806,780,122,361.60, 1,210,382,442,363.40 and 289,933,840,794.10 is: 434,977,040,977.31
Step by Step Solution
- Step 1: Write the proportion equation
806,780,122,361.60 : 1,210,382,442,363.40 = 289,933,840,794.10 : x - Step 2: Convert to fraction form
806,780,122,361.60/1,210,382,442,363.40 = 289,933,840,794.10/x - Step 3: Cross multiply
806,780,122,361.60x = 1,210,382,442,363.40 × 289,933,840,794.10 - Step 4: Simplify right side
806,780,122,361.60x = 350,930,830,344,163,856,220,160 - Step 5: Solve for x
x = 350,930,830,344,163,856,220,160/806,780,122,361.60 - Step 6: Final answer
x = 434,977,040,977.31
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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.