Finding the Fourth Proportional to 32,997,401,396,856, 45,534,362,174,446 and 18,181,437,513,660
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Solution
The fourth proportional to 32,997,401,396,856, 45,534,362,174,446 and 18,181,437,513,660 is: 25,089,253,260,953.27
Step by Step Solution
- Step 1: Write the proportion equation
32,997,401,396,856 : 45,534,362,174,446 = 18,181,437,513,660 : x - Step 2: Convert to fraction form
32,997,401,396,856/45,534,362,174,446 = 18,181,437,513,660/x - Step 3: Cross multiply
32,997,401,396,856x = 45,534,362,174,446 × 18,181,437,513,660 - Step 4: Simplify right side
32,997,401,396,856x = 827,880,160,599,053,392,685,301,760 - Step 5: Solve for x
x = 827,880,160,599,053,392,685,301,760/32,997,401,396,856 - Step 6: Final answer
x = 25,089,253,260,953.27
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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.