Finding the Fourth Proportional to 1,676,186,257,710.20, 2,514,279,383,724.20 and 402,771,052,697.84
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Solution
The fourth proportional to 1,676,186,257,710.20, 2,514,279,383,724.20 and 402,771,052,697.84 is: 604,156,578,364.07
Step by Step Solution
- Step 1: Write the proportion equation
1,676,186,257,710.20 : 2,514,279,383,724.20 = 402,771,052,697.84 : x - Step 2: Convert to fraction form
1,676,186,257,710.20/2,514,279,383,724.20 = 402,771,052,697.84/x - Step 3: Cross multiply
1,676,186,257,710.20x = 2,514,279,383,724.20 × 402,771,052,697.84 - Step 4: Simplify right side
1,676,186,257,710.20x = 1,012,678,954,159,072,585,187,328 - Step 5: Solve for x
x = 1,012,678,954,159,072,585,187,328/1,676,186,257,710.20 - Step 6: Final answer
x = 604,156,578,364.07
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.