Finding the Fourth Proportional to 30,542,110,643.34, 42,147,450,919.44 and 17,682,292,467.99
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Solution
The fourth proportional to 30,542,110,643.34, 42,147,450,919.44 and 17,682,292,467.99 is: 24,401,180,476.38
Step by Step Solution
- Step 1: Write the proportion equation
30,542,110,643.34 : 42,147,450,919.44 = 17,682,292,467.99 : x - Step 2: Convert to fraction form
30,542,110,643.34/42,147,450,919.44 = 17,682,292,467.99/x - Step 3: Cross multiply
30,542,110,643.34x = 42,147,450,919.44 × 17,682,292,467.99 - Step 4: Simplify right side
30,542,110,643.34x = 745,263,553,937,792,172,032 - Step 5: Solve for x
x = 745,263,553,937,792,172,032/30,542,110,643.34 - Step 6: Final answer
x = 24,401,180,476.38
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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.