Finding the Fourth Proportional to 551,635,758,107.20, 827,453,637,160.80 and 551,635,758,107.20
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Solution
The fourth proportional to 551,635,758,107.20, 827,453,637,160.80 and 551,635,758,107.20 is: 827,453,637,160.80
Step by Step Solution
- Step 1: Write the proportion equation
551,635,758,107.20 : 827,453,637,160.80 = 551,635,758,107.20 : x - Step 2: Convert to fraction form
551,635,758,107.20/827,453,637,160.80 = 551,635,758,107.20/x - Step 3: Cross multiply
551,635,758,107.20x = 827,453,637,160.80 × 551,635,758,107.20 - Step 4: Simplify right side
551,635,758,107.20x = 456,453,014,433,757,877,239,808 - Step 5: Solve for x
x = 456,453,014,433,757,877,239,808/551,635,758,107.20 - Step 6: Final answer
x = 827,453,637,160.80
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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.