Finding the Fourth Proportional to 5,200,403,719,365.20, 7,176,573,901,977.60 and 2,888,149,794,474
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Solution
The fourth proportional to 5,200,403,719,365.20, 7,176,573,901,977.60 and 2,888,149,794,474 is: 3,985,656,029,519.60
Step by Step Solution
- Step 1: Write the proportion equation
5,200,403,719,365.20 : 7,176,573,901,977.60 = 2,888,149,794,474 : x - Step 2: Convert to fraction form
5,200,403,719,365.20/7,176,573,901,977.60 = 2,888,149,794,474/x - Step 3: Cross multiply
5,200,403,719,365.20x = 7,176,573,901,977.60 × 2,888,149,794,474 - Step 4: Simplify right side
5,200,403,719,365.20x = 20,727,020,440,024,077,228,310,528 - Step 5: Solve for x
x = 20,727,020,440,024,077,228,310,528/5,200,403,719,365.20 - Step 6: Final answer
x = 3,985,656,029,519.60
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.