Finding the Fourth Proportional to 30,260,372,964,858, 41,759,354,962,224 and 16,386,873,341,754
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Solution
The fourth proportional to 30,260,372,964,858, 41,759,354,962,224 and 16,386,873,341,754 is: 22,613,907,019,388.33
Step by Step Solution
- Step 1: Write the proportion equation
30,260,372,964,858 : 41,759,354,962,224 = 16,386,873,341,754 : x - Step 2: Convert to fraction form
30,260,372,964,858/41,759,354,962,224 = 16,386,873,341,754/x - Step 3: Cross multiply
30,260,372,964,858x = 41,759,354,962,224 × 16,386,873,341,754 - Step 4: Simplify right side
30,260,372,964,858x = 684,305,260,599,311,084,638,175,232 - Step 5: Solve for x
x = 684,305,260,599,311,084,638,175,232/30,260,372,964,858 - Step 6: Final answer
x = 22,613,907,019,388.33
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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.