Finding the Fourth Proportional to 577,822,635,490.75, 797,397,100,227.68 and 320,905,532,725.08
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Solution
The fourth proportional to 577,822,635,490.75, 797,397,100,227.68 and 320,905,532,725.08 is: 442,850,669,954.58
Step by Step Solution
- Step 1: Write the proportion equation
577,822,635,490.75 : 797,397,100,227.68 = 320,905,532,725.08 : x - Step 2: Convert to fraction form
577,822,635,490.75/797,397,100,227.68 = 320,905,532,725.08/x - Step 3: Cross multiply
577,822,635,490.75x = 797,397,100,227.68 × 320,905,532,725.08 - Step 4: Simplify right side
577,822,635,490.75x = 255,889,141,241,997,701,414,912 - Step 5: Solve for x
x = 255,889,141,241,997,701,414,912/577,822,635,490.75 - Step 6: Final answer
x = 442,850,669,954.58
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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.