Finding the Fourth Proportional to 806,780,122,364.26, 1,210,382,442,367.20 and 289,933,840,796.83
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Solution
The fourth proportional to 806,780,122,364.26, 1,210,382,442,367.20 and 289,933,840,796.83 is: 434,977,040,981.34
Step by Step Solution
- Step 1: Write the proportion equation
806,780,122,364.26 : 1,210,382,442,367.20 = 289,933,840,796.83 : x - Step 2: Convert to fraction form
806,780,122,364.26/1,210,382,442,367.20 = 289,933,840,796.83/x - Step 3: Cross multiply
806,780,122,364.26x = 1,210,382,442,367.20 × 289,933,840,796.83 - Step 4: Simplify right side
806,780,122,364.26x = 350,930,830,348,570,022,903,808 - Step 5: Solve for x
x = 350,930,830,348,570,022,903,808/806,780,122,364.26 - Step 6: Final answer
x = 434,977,040,981.34
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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.