Finding the Fourth Proportional to 4,472,444,936.14, 6,172,250,153.03 and 2,465,275,550.53
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Solution
The fourth proportional to 4,472,444,936.14, 6,172,250,153.03 and 2,465,275,550.53 is: 3,402,232,472.68
Step by Step Solution
- Step 1: Write the proportion equation
4,472,444,936.14 : 6,172,250,153.03 = 2,465,275,550.53 : x - Step 2: Convert to fraction form
4,472,444,936.14/6,172,250,153.03 = 2,465,275,550.53/x - Step 3: Cross multiply
4,472,444,936.14x = 6,172,250,153.03 × 2,465,275,550.53 - Step 4: Simplify right side
4,472,444,936.14x = 15,216,297,394,007,584,768 - Step 5: Solve for x
x = 15,216,297,394,007,584,768/4,472,444,936.14 - Step 6: Final answer
x = 3,402,232,472.68
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1.5x scale
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.