Finding the Fourth Proportional to 5,200,403,719,413, 7,176,573,902,043.40 and 2,888,149,794,521.20
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Solution
The fourth proportional to 5,200,403,719,413, 7,176,573,902,043.40 and 2,888,149,794,521.20 is: 3,985,656,029,584.65
Step by Step Solution
- Step 1: Write the proportion equation
5,200,403,719,413 : 7,176,573,902,043.40 = 2,888,149,794,521.20 : x - Step 2: Convert to fraction form
5,200,403,719,413/7,176,573,902,043.40 = 2,888,149,794,521.20/x - Step 3: Cross multiply
5,200,403,719,413x = 7,176,573,902,043.40 × 2,888,149,794,521.20 - Step 4: Simplify right side
5,200,403,719,413x = 20,727,020,440,552,856,421,924,864 - Step 5: Solve for x
x = 20,727,020,440,552,856,421,924,864/5,200,403,719,413 - Step 6: Final answer
x = 3,985,656,029,584.65
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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.