Finding the Fourth Proportional to 21,471,824,781,730, 32,207,857,577,444 and 7,162,022,315,907.20
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Solution
The fourth proportional to 21,471,824,781,730, 32,207,857,577,444 and 7,162,022,315,907.20 is: 10,743,073,635,431.80
Step by Step Solution
- Step 1: Write the proportion equation
21,471,824,781,730 : 32,207,857,577,444 = 7,162,022,315,907.20 : x - Step 2: Convert to fraction form
21,471,824,781,730/32,207,857,577,444 = 7,162,022,315,907.20/x - Step 3: Cross multiply
21,471,824,781,730x = 32,207,857,577,444 × 7,162,022,315,907.20 - Step 4: Simplify right side
21,471,824,781,730x = 230,673,394,717,214,748,222,423,040 - Step 5: Solve for x
x = 230,673,394,717,214,748,222,423,040/21,471,824,781,730 - Step 6: Final answer
x = 10,743,073,635,431.80
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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.