Finding the Fourth Proportional to 6,432,214,691.98, 8,876,723,138.30 and 3,574,346,234.14
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Solution
The fourth proportional to 6,432,214,691.98, 8,876,723,138.30 and 3,574,346,234.14 is: 4,932,746,097.61
Step by Step Solution
- Step 1: Write the proportion equation
6,432,214,691.98 : 8,876,723,138.30 = 3,574,346,234.14 : x - Step 2: Convert to fraction form
6,432,214,691.98/8,876,723,138.30 = 3,574,346,234.14/x - Step 3: Cross multiply
6,432,214,691.98x = 8,876,723,138.30 × 3,574,346,234.14 - Step 4: Simplify right side
6,432,214,691.98x = 31,728,481,920,886,001,664 - Step 5: Solve for x
x = 31,728,481,920,886,001,664/6,432,214,691.98 - Step 6: Final answer
x = 4,932,746,097.61
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Double scale
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1.5x scale
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.