Finding the Fourth Proportional to 512,379,194.05, 706,554,816.73 and 438,285,048.31
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Solution
The fourth proportional to 512,379,194.05, 706,554,816.73 and 438,285,048.31 is: 604,381,316.77
Step by Step Solution
- Step 1: Write the proportion equation
512,379,194.05 : 706,554,816.73 = 438,285,048.31 : x - Step 2: Convert to fraction form
512,379,194.05/706,554,816.73 = 438,285,048.31/x - Step 3: Cross multiply
512,379,194.05x = 706,554,816.73 × 438,285,048.31 - Step 4: Simplify right side
512,379,194.05x = 309,672,411,984,171,264 - Step 5: Solve for x
x = 309,672,411,984,171,264/512,379,194.05 - Step 6: Final answer
x = 604,381,316.77
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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.