Finding the Fourth Proportional to 347,680,511,998.65, 521,520,767,997.99 and 347,680,511,998.65
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Solution
The fourth proportional to 347,680,511,998.65, 521,520,767,997.99 and 347,680,511,998.65 is: 521,520,767,997.99
Step by Step Solution
- Step 1: Write the proportion equation
347,680,511,998.65 : 521,520,767,997.99 = 347,680,511,998.65 : x - Step 2: Convert to fraction form
347,680,511,998.65/521,520,767,997.99 = 347,680,511,998.65/x - Step 3: Cross multiply
347,680,511,998.65x = 521,520,767,997.99 × 347,680,511,998.65 - Step 4: Simplify right side
347,680,511,998.65x = 181,322,607,635,470,349,238,272 - Step 5: Solve for x
x = 181,322,607,635,470,349,238,272/347,680,511,998.65 - Step 6: Final answer
x = 521,520,767,997.99
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1.5x scale
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.