Finding the Fourth Proportional to 5,200,403,719,409.80, 7,176,573,902,040 and 2,888,149,794,518.80
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Solution
The fourth proportional to 5,200,403,719,409.80, 7,176,573,902,040 and 2,888,149,794,518.80 is: 3,985,656,029,581.90
Step by Step Solution
- Step 1: Write the proportion equation
5,200,403,719,409.80 : 7,176,573,902,040 = 2,888,149,794,518.80 : x - Step 2: Convert to fraction form
5,200,403,719,409.80/7,176,573,902,040 = 2,888,149,794,518.80/x - Step 3: Cross multiply
5,200,403,719,409.80x = 7,176,573,902,040 × 2,888,149,794,518.80 - Step 4: Simplify right side
5,200,403,719,409.80x = 20,727,020,440,525,806,717,894,656 - Step 5: Solve for x
x = 20,727,020,440,525,806,717,894,656/5,200,403,719,409.80 - Step 6: Final answer
x = 3,985,656,029,581.90
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1.5x scale
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.