Finding the Fourth Proportional to 2,511,399,200.70, 3,767,098,801.05 and 764,588,063.10
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Solution
The fourth proportional to 2,511,399,200.70, 3,767,098,801.05 and 764,588,063.10 is: 1,146,882,094.65
Step by Step Solution
- Step 1: Write the proportion equation
2,511,399,200.70 : 3,767,098,801.05 = 764,588,063.10 : x - Step 2: Convert to fraction form
2,511,399,200.70/3,767,098,801.05 = 764,588,063.10/x - Step 3: Cross multiply
2,511,399,200.70x = 3,767,098,801.05 × 764,588,063.10 - Step 4: Simplify right side
2,511,399,200.70x = 2,880,278,775,801,152,000 - Step 5: Solve for x
x = 2,880,278,775,801,152,000/2,511,399,200.70 - Step 6: Final answer
x = 1,146,882,094.65
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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.