Finding the Fourth Proportional to 24,112,180,675,304, 36,168,215,843,406 and 10,334,833,943,930
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Solution
The fourth proportional to 24,112,180,675,304, 36,168,215,843,406 and 10,334,833,943,930 is: 15,502,227,269,417.49
Step by Step Solution
- Step 1: Write the proportion equation
24,112,180,675,304 : 36,168,215,843,406 = 10,334,833,943,930 : x - Step 2: Convert to fraction form
24,112,180,675,304/36,168,215,843,406 = 10,334,833,943,930/x - Step 3: Cross multiply
24,112,180,675,304x = 36,168,215,843,406 × 10,334,833,943,930 - Step 4: Simplify right side
24,112,180,675,304x = 373,792,504,789,819,171,719,348,224 - Step 5: Solve for x
x = 373,792,504,789,819,171,719,348,224/24,112,180,675,304 - Step 6: Final answer
x = 15,502,227,269,417.49
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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.