Finding the Fourth Proportional to 135,306,607,110.71, 186,739,125,372.57 and 80,373,997,172.63
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Solution
The fourth proportional to 135,306,607,110.71, 186,739,125,372.57 and 80,373,997,172.63 is: 110,925,624,810.28
Step by Step Solution
- Step 1: Write the proportion equation
135,306,607,110.71 : 186,739,125,372.57 = 80,373,997,172.63 : x - Step 2: Convert to fraction form
135,306,607,110.71/186,739,125,372.57 = 80,373,997,172.63/x - Step 3: Cross multiply
135,306,607,110.71x = 186,739,125,372.57 × 80,373,997,172.63 - Step 4: Simplify right side
135,306,607,110.71x = 15,008,969,934,714,714,456,064 - Step 5: Solve for x
x = 15,008,969,934,714,714,456,064/135,306,607,110.71 - Step 6: Final answer
x = 110,925,624,810.28
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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.