Finding the Fourth Proportional to 1,676,186,257,718.40, 2,514,279,383,736.10 and 402,771,052,705.91
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Solution
The fourth proportional to 1,676,186,257,718.40, 2,514,279,383,736.10 and 402,771,052,705.91 is: 604,156,578,376.08
Step by Step Solution
- Step 1: Write the proportion equation
1,676,186,257,718.40 : 2,514,279,383,736.10 = 402,771,052,705.91 : x - Step 2: Convert to fraction form
1,676,186,257,718.40/2,514,279,383,736.10 = 402,771,052,705.91/x - Step 3: Cross multiply
1,676,186,257,718.40x = 2,514,279,383,736.10 × 402,771,052,705.91 - Step 4: Simplify right side
1,676,186,257,718.40x = 1,012,678,954,184,155,596,849,152 - Step 5: Solve for x
x = 1,012,678,954,184,155,596,849,152/1,676,186,257,718.40 - Step 6: Final answer
x = 604,156,578,376.08
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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.