Finding the Fourth Proportional to 32,997,401,396,920, 45,534,362,174,528 and 18,181,437,513,724
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Solution
The fourth proportional to 32,997,401,396,920, 45,534,362,174,528 and 18,181,437,513,724 is: 25,089,253,261,038.11
Step by Step Solution
- Step 1: Write the proportion equation
32,997,401,396,920 : 45,534,362,174,528 = 18,181,437,513,724 : x - Step 2: Convert to fraction form
32,997,401,396,920/45,534,362,174,528 = 18,181,437,513,724/x - Step 3: Cross multiply
32,997,401,396,920x = 45,534,362,174,528 × 18,181,437,513,724 - Step 4: Simplify right side
32,997,401,396,920x = 827,880,160,603,458,448,583,032,832 - Step 5: Solve for x
x = 827,880,160,603,458,448,583,032,832/32,997,401,396,920 - Step 6: Final answer
x = 25,089,253,261,038.11
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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.