Finding the Fourth Proportional to 2,214,775,270.80, 3,322,162,906.20 and 2,120,418,176.40
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Solution
The fourth proportional to 2,214,775,270.80, 3,322,162,906.20 and 2,120,418,176.40 is: 3,180,627,264.60
Step by Step Solution
- Step 1: Write the proportion equation
2,214,775,270.80 : 3,322,162,906.20 = 2,120,418,176.40 : x - Step 2: Convert to fraction form
2,214,775,270.80/3,322,162,906.20 = 2,120,418,176.40/x - Step 3: Cross multiply
2,214,775,270.80x = 3,322,162,906.20 × 2,120,418,176.40 - Step 4: Simplify right side
2,214,775,270.80x = 7,044,374,611,268,328,448 - Step 5: Solve for x
x = 7,044,374,611,268,328,448/2,214,775,270.80 - Step 6: Final answer
x = 3,180,627,264.60
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1.5x scale
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.