Finding the Fourth Proportional to 4,164,147,461.63, 6,247,255,011.30 and 2,066,608,293.14
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Solution
The fourth proportional to 4,164,147,461.63, 6,247,255,011.30 and 2,066,608,293.14 is: 3,100,425,509.58
Step by Step Solution
- Step 1: Write the proportion equation
4,164,147,461.63 : 6,247,255,011.30 = 2,066,608,293.14 : x - Step 2: Convert to fraction form
4,164,147,461.63/6,247,255,011.30 = 2,066,608,293.14/x - Step 3: Cross multiply
4,164,147,461.63x = 6,247,255,011.30 × 2,066,608,293.14 - Step 4: Simplify right side
4,164,147,461.63x = 12,910,629,015,696,977,920 - Step 5: Solve for x
x = 12,910,629,015,696,977,920/4,164,147,461.63 - Step 6: Final answer
x = 3,100,425,509.58
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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.