Finding the Fourth Proportional to 413,263,901.94, 570,304,152.80 and 227,624,917.65
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Solution
The fourth proportional to 413,263,901.94, 570,304,152.80 and 227,624,917.65 is: 314,122,368.80
Step by Step Solution
- Step 1: Write the proportion equation
413,263,901.94 : 570,304,152.80 = 227,624,917.65 : x - Step 2: Convert to fraction form
413,263,901.94/570,304,152.80 = 227,624,917.65/x - Step 3: Cross multiply
413,263,901.94x = 570,304,152.80 × 227,624,917.65 - Step 4: Simplify right side
413,263,901.94x = 129,815,435,816,553,008 - Step 5: Solve for x
x = 129,815,435,816,553,008/413,263,901.94 - Step 6: Final answer
x = 314,122,368.80
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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.