Finding the Fourth Proportional to 29,937,119,621,882, 44,828,341,593,774 and 20,661,568,128,620
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Solution
The fourth proportional to 29,937,119,621,882, 44,828,341,593,774 and 20,661,568,128,620 is: 30,938,976,282,000.24
Step by Step Solution
- Step 1: Write the proportion equation
29,937,119,621,882 : 44,828,341,593,774 = 20,661,568,128,620 : x - Step 2: Convert to fraction form
29,937,119,621,882/44,828,341,593,774 = 20,661,568,128,620/x - Step 3: Cross multiply
29,937,119,621,882x = 44,828,341,593,774 × 20,661,568,128,620 - Step 4: Simplify right side
29,937,119,621,882x = 926,223,833,932,811,109,499,142,144 - Step 5: Solve for x
x = 926,223,833,932,811,109,499,142,144/29,937,119,621,882 - Step 6: Final answer
x = 30,938,976,282,000.24
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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.