Finding the Fourth Proportional to 29,331,304,847,176, 40,478,064,107,450 and 16,163,144,410,904
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Solution
The fourth proportional to 29,331,304,847,176, 40,478,064,107,450 and 16,163,144,410,904 is: 22,305,615,077,521.36
Step by Step Solution
- Step 1: Write the proportion equation
29,331,304,847,176 : 40,478,064,107,450 = 16,163,144,410,904 : x - Step 2: Convert to fraction form
29,331,304,847,176/40,478,064,107,450 = 16,163,144,410,904/x - Step 3: Cross multiply
29,331,304,847,176x = 40,478,064,107,450 × 16,163,144,410,904 - Step 4: Simplify right side
29,331,304,847,176x = 654,252,795,642,544,281,863,847,936 - Step 5: Solve for x
x = 654,252,795,642,544,281,863,847,936/29,331,304,847,176 - Step 6: Final answer
x = 22,305,615,077,521.36
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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.