Finding the Fourth Proportional to 1,676,186,277,410.80, 2,514,279,413,296 and 402,771,072,398.22
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Solution
The fourth proportional to 1,676,186,277,410.80, 2,514,279,413,296 and 402,771,072,398.22 is: 604,156,607,919.66
Step by Step Solution
- Step 1: Write the proportion equation
1,676,186,277,410.80 : 2,514,279,413,296 = 402,771,072,398.22 : x - Step 2: Convert to fraction form
1,676,186,277,410.80/2,514,279,413,296 = 402,771,072,398.22/x - Step 3: Cross multiply
1,676,186,277,410.80x = 2,514,279,413,296 × 402,771,072,398.22 - Step 4: Simplify right side
1,676,186,277,410.80x = 1,012,679,015,601,997,206,257,664 - Step 5: Solve for x
x = 1,012,679,015,601,997,206,257,664/1,676,186,277,410.80 - Step 6: Final answer
x = 604,156,607,919.66
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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.