Finding the Fourth Proportional to 1,824,548,035,516.50, 2,517,878,782,382.70 and 990,255,738,739.25
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Solution
The fourth proportional to 1,824,548,035,516.50, 2,517,878,782,382.70 and 990,255,738,739.25 is: 1,366,554,272,712.50
Step by Step Solution
- Step 1: Write the proportion equation
1,824,548,035,516.50 : 2,517,878,782,382.70 = 990,255,738,739.25 : x - Step 2: Convert to fraction form
1,824,548,035,516.50/2,517,878,782,382.70 = 990,255,738,739.25/x - Step 3: Cross multiply
1,824,548,035,516.50x = 2,517,878,782,382.70 × 990,255,738,739.25 - Step 4: Simplify right side
1,824,548,035,516.50x = 2,493,343,913,704,263,855,898,624 - Step 5: Solve for x
x = 2,493,343,913,704,263,855,898,624/1,824,548,035,516.50 - Step 6: Final answer
x = 1,366,554,272,712.50
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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.