Finding the Fourth Proportional to 21,840,246,626,450, 30,128,113,628,740 and 13,504,068,570,643
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Solution
The fourth proportional to 21,840,246,626,450, 30,128,113,628,740 and 13,504,068,570,643 is: 18,628,549,361,430
Step by Step Solution
- Step 1: Write the proportion equation
21,840,246,626,450 : 30,128,113,628,740 = 13,504,068,570,643 : x - Step 2: Convert to fraction form
21,840,246,626,450/30,128,113,628,740 = 13,504,068,570,643/x - Step 3: Cross multiply
21,840,246,626,450x = 30,128,113,628,740 × 13,504,068,570,643 - Step 4: Simplify right side
21,840,246,626,450x = 406,852,112,346,628,876,853,575,680 - Step 5: Solve for x
x = 406,852,112,346,628,876,853,575,680/21,840,246,626,450 - Step 6: Final answer
x = 18,628,549,361,430
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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.