Finding the Fourth Proportional to 421,612,366,024.84, 581,825,065,114.35 and 241,171,273,273.07
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Solution
The fourth proportional to 421,612,366,024.84, 581,825,065,114.35 and 241,171,273,273.07 is: 332,816,357,116.88
Step by Step Solution
- Step 1: Write the proportion equation
421,612,366,024.84 : 581,825,065,114.35 = 241,171,273,273.07 : x - Step 2: Convert to fraction form
421,612,366,024.84/581,825,065,114.35 = 241,171,273,273.07/x - Step 3: Cross multiply
421,612,366,024.84x = 581,825,065,114.35 × 241,171,273,273.07 - Step 4: Simplify right side
421,612,366,024.84x = 140,319,491,775,814,642,434,048 - Step 5: Solve for x
x = 140,319,491,775,814,642,434,048/421,612,366,024.84 - Step 6: Final answer
x = 332,816,357,116.88
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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.