Finding the Fourth Proportional to 4,267,858,489.60, 6,405,370,915.20 and 1,942,374,150.40
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Solution
The fourth proportional to 4,267,858,489.60, 6,405,370,915.20 and 1,942,374,150.40 is: 2,915,191,991.42
Step by Step Solution
- Step 1: Write the proportion equation
4,267,858,489.60 : 6,405,370,915.20 = 1,942,374,150.40 : x - Step 2: Convert to fraction form
4,267,858,489.60/6,405,370,915.20 = 1,942,374,150.40/x - Step 3: Cross multiply
4,267,858,489.60x = 6,405,370,915.20 × 1,942,374,150.40 - Step 4: Simplify right side
4,267,858,489.60x = 12,441,626,889,408,471,040 - Step 5: Solve for x
x = 12,441,626,889,408,471,040/4,267,858,489.60 - Step 6: Final answer
x = 2,915,191,991.42
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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.