Finding the Fourth Proportional to 1,830,256,234.20, 2,525,755,230.74 and 994,880,804.81
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Solution
The fourth proportional to 1,830,256,234.20, 2,525,755,230.74 and 994,880,804.81 is: 1,372,936,395.32
Step by Step Solution
- Step 1: Write the proportion equation
1,830,256,234.20 : 2,525,755,230.74 = 994,880,804.81 : x - Step 2: Convert to fraction form
1,830,256,234.20/2,525,755,230.74 = 994,880,804.81/x - Step 3: Cross multiply
1,830,256,234.20x = 2,525,755,230.74 × 994,880,804.81 - Step 4: Simplify right side
1,830,256,234.20x = 2,512,825,396,701,536,768 - Step 5: Solve for x
x = 2,512,825,396,701,536,768/1,830,256,234.20 - Step 6: Final answer
x = 1,372,936,395.32
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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.