Finding the Fourth Proportional to 30,260,372,962,648, 41,759,354,959,160 and 16,386,873,339,540
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Solution
The fourth proportional to 30,260,372,962,648, 41,759,354,959,160 and 16,386,873,339,540 is: 22,613,907,016,325.31
Step by Step Solution
- Step 1: Write the proportion equation
30,260,372,962,648 : 41,759,354,959,160 = 16,386,873,339,540 : x - Step 2: Convert to fraction form
30,260,372,962,648/41,759,354,959,160 = 16,386,873,339,540/x - Step 3: Cross multiply
30,260,372,962,648x = 41,759,354,959,160 × 16,386,873,339,540 - Step 4: Simplify right side
30,260,372,962,648x = 684,305,260,456,646,427,277,262,848 - Step 5: Solve for x
x = 684,305,260,456,646,427,277,262,848/30,260,372,962,648 - Step 6: Final answer
x = 22,613,907,016,325.31
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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.