Finding the Fourth Proportional to 1,676,186,277,340.70, 2,514,279,413,190.30 and 402,771,072,328.34
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Solution
The fourth proportional to 1,676,186,277,340.70, 2,514,279,413,190.30 and 402,771,072,328.34 is: 604,156,607,814.71
Step by Step Solution
- Step 1: Write the proportion equation
1,676,186,277,340.70 : 2,514,279,413,190.30 = 402,771,072,328.34 : x - Step 2: Convert to fraction form
1,676,186,277,340.70/2,514,279,413,190.30 = 402,771,072,328.34/x - Step 3: Cross multiply
1,676,186,277,340.70x = 2,514,279,413,190.30 × 402,771,072,328.34 - Step 4: Simplify right side
1,676,186,277,340.70x = 1,012,679,015,383,726,565,621,760 - Step 5: Solve for x
x = 1,012,679,015,383,726,565,621,760/1,676,186,277,340.70 - Step 6: Final answer
x = 604,156,607,814.71
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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.