Finding the Fourth Proportional to 362,272,181,998.65, 543,408,272,997.98 and 97,303,352,149.05
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Solution
The fourth proportional to 362,272,181,998.65, 543,408,272,997.98 and 97,303,352,149.05 is: 145,955,028,223.58
Step by Step Solution
- Step 1: Write the proportion equation
362,272,181,998.65 : 543,408,272,997.98 = 97,303,352,149.05 : x - Step 2: Convert to fraction form
362,272,181,998.65/543,408,272,997.98 = 97,303,352,149.05/x - Step 3: Cross multiply
362,272,181,998.65x = 543,408,272,997.98 × 97,303,352,149.05 - Step 4: Simplify right side
362,272,181,998.65x = 52,875,446,548,229,546,573,824 - Step 5: Solve for x
x = 52,875,446,548,229,546,573,824/362,272,181,998.65 - Step 6: Final answer
x = 145,955,028,223.58
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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.