Finding the Fourth Proportional to 7,684,370,321,072.20, 11,526,149,523,416 and 2,520,535,138,617.90
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Solution
The fourth proportional to 7,684,370,321,072.20, 11,526,149,523,416 and 2,520,535,138,617.90 is: 3,780,669,550,381.63
Step by Step Solution
- Step 1: Write the proportion equation
7,684,370,321,072.20 : 11,526,149,523,416 = 2,520,535,138,617.90 : x - Step 2: Convert to fraction form
7,684,370,321,072.20/11,526,149,523,416 = 2,520,535,138,617.90/x - Step 3: Cross multiply
7,684,370,321,072.20x = 11,526,149,523,416 × 2,520,535,138,617.90 - Step 4: Simplify right side
7,684,370,321,072.20x = 29,052,064,886,733,990,222,888,960 - Step 5: Solve for x
x = 29,052,064,886,733,990,222,888,960/7,684,370,321,072.20 - Step 6: Final answer
x = 3,780,669,550,381.63
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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.