Finding the Fourth Proportional to 1,824,548,035,598.40, 2,517,878,782,496.10 and 990,255,738,821.55
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Solution
The fourth proportional to 1,824,548,035,598.40, 2,517,878,782,496.10 and 990,255,738,821.55 is: 1,366,554,272,826.28
Step by Step Solution
- Step 1: Write the proportion equation
1,824,548,035,598.40 : 2,517,878,782,496.10 = 990,255,738,821.55 : x - Step 2: Convert to fraction form
1,824,548,035,598.40/2,517,878,782,496.10 = 990,255,738,821.55/x - Step 3: Cross multiply
1,824,548,035,598.40x = 2,517,878,782,496.10 × 990,255,738,821.55 - Step 4: Simplify right side
1,824,548,035,598.40x = 2,493,343,914,023,780,431,691,776 - Step 5: Solve for x
x = 2,493,343,914,023,780,431,691,776/1,824,548,035,598.40 - Step 6: Final answer
x = 1,366,554,272,826.28
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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.