Finding the Fourth Proportional to 4,122,324,704.40, 6,180,664,143.89 and 2,099,273,901.48
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Solution
The fourth proportional to 4,122,324,704.40, 6,180,664,143.89 and 2,099,273,901.48 is: 3,147,473,297.58
Step by Step Solution
- Step 1: Write the proportion equation
4,122,324,704.40 : 6,180,664,143.89 = 2,099,273,901.48 : x - Step 2: Convert to fraction form
4,122,324,704.40/6,180,664,143.89 = 2,099,273,901.48/x - Step 3: Cross multiply
4,122,324,704.40x = 6,180,664,143.89 × 2,099,273,901.48 - Step 4: Simplify right side
4,122,324,704.40x = 12,974,906,931,071,008,768 - Step 5: Solve for x
x = 12,974,906,931,071,008,768/4,122,324,704.40 - Step 6: Final answer
x = 3,147,473,297.58
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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.