Finding the Fourth Proportional to 459,084,514,795.74, 633,765,994,814.76 and 285,525,597,165.75
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Solution
The fourth proportional to 459,084,514,795.74, 633,765,994,814.76 and 285,525,597,165.75 is: 394,167,976,267.60
Step by Step Solution
- Step 1: Write the proportion equation
459,084,514,795.74 : 633,765,994,814.76 = 285,525,597,165.75 : x - Step 2: Convert to fraction form
459,084,514,795.74/633,765,994,814.76 = 285,525,597,165.75/x - Step 3: Cross multiply
459,084,514,795.74x = 633,765,994,814.76 × 285,525,597,165.75 - Step 4: Simplify right side
459,084,514,795.74x = 180,956,414,132,829,967,876,096 - Step 5: Solve for x
x = 180,956,414,132,829,967,876,096/459,084,514,795.74 - Step 6: Final answer
x = 394,167,976,267.60
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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.