Finding the Fourth Proportional to 4,872,937,606,225.20, 6,724,815,167,861.60 and 2,678,180,620,206
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Solution
The fourth proportional to 4,872,937,606,225.20, 6,724,815,167,861.60 and 2,678,180,620,206 is: 3,695,977,891,041.76
Step by Step Solution
- Step 1: Write the proportion equation
4,872,937,606,225.20 : 6,724,815,167,861.60 = 2,678,180,620,206 : x - Step 2: Convert to fraction form
4,872,937,606,225.20/6,724,815,167,861.60 = 2,678,180,620,206/x - Step 3: Cross multiply
4,872,937,606,225.20x = 6,724,815,167,861.60 × 2,678,180,620,206 - Step 4: Simplify right side
4,872,937,606,225.20x = 18,010,269,657,034,294,076,375,040 - Step 5: Solve for x
x = 18,010,269,657,034,294,076,375,040/4,872,937,606,225.20 - Step 6: Final answer
x = 3,695,977,891,041.76
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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.