Finding the Fourth Proportional to 2,048,243,107.14, 3,072,372,631.92 and 495,531,937.44
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Solution
The fourth proportional to 2,048,243,107.14, 3,072,372,631.92 and 495,531,937.44 is: 743,299,834.64
Step by Step Solution
- Step 1: Write the proportion equation
2,048,243,107.14 : 3,072,372,631.92 = 495,531,937.44 : x - Step 2: Convert to fraction form
2,048,243,107.14/3,072,372,631.92 = 495,531,937.44/x - Step 3: Cross multiply
2,048,243,107.14x = 3,072,372,631.92 × 495,531,937.44 - Step 4: Simplify right side
2,048,243,107.14x = 1,522,458,762,832,949,504 - Step 5: Solve for x
x = 1,522,458,762,832,949,504/2,048,243,107.14 - Step 6: Final answer
x = 743,299,834.64
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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.