Finding the Fourth Proportional to 5,200,403,719,424, 7,176,573,902,058.80 and 2,888,149,794,532.20
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Solution
The fourth proportional to 5,200,403,719,424, 7,176,573,902,058.80 and 2,888,149,794,532.20 is: 3,985,656,029,599.95
Step by Step Solution
- Step 1: Write the proportion equation
5,200,403,719,424 : 7,176,573,902,058.80 = 2,888,149,794,532.20 : x - Step 2: Convert to fraction form
5,200,403,719,424/7,176,573,902,058.80 = 2,888,149,794,532.20/x - Step 3: Cross multiply
5,200,403,719,424x = 7,176,573,902,058.80 × 2,888,149,794,532.20 - Step 4: Simplify right side
5,200,403,719,424x = 20,727,020,440,676,272,307,175,424 - Step 5: Solve for x
x = 20,727,020,440,676,272,307,175,424/5,200,403,719,424 - Step 6: Final answer
x = 3,985,656,029,599.95
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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.