Finding the Fourth Proportional to 4,122,324,701.97, 6,180,664,140.26 and 2,099,273,899.06
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Solution
The fourth proportional to 4,122,324,701.97, 6,180,664,140.26 and 2,099,273,899.06 is: 3,147,473,293.96
Step by Step Solution
- Step 1: Write the proportion equation
4,122,324,701.97 : 6,180,664,140.26 = 2,099,273,899.06 : x - Step 2: Convert to fraction form
4,122,324,701.97/6,180,664,140.26 = 2,099,273,899.06/x - Step 3: Cross multiply
4,122,324,701.97x = 6,180,664,140.26 × 2,099,273,899.06 - Step 4: Simplify right side
4,122,324,701.97x = 12,974,906,908,485,330,944 - Step 5: Solve for x
x = 12,974,906,908,485,330,944/4,122,324,701.97 - Step 6: Final answer
x = 3,147,473,293.96
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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.