Finding the Fourth Proportional to 40,024,317,987,939, 55,230,527,615,404 and 22,462,247,939,682
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Solution
The fourth proportional to 40,024,317,987,939, 55,230,527,615,404 and 22,462,247,939,682 is: 30,996,200,997,366.24
Step by Step Solution
- Step 1: Write the proportion equation
40,024,317,987,939 : 55,230,527,615,404 = 22,462,247,939,682 : x - Step 2: Convert to fraction form
40,024,317,987,939/55,230,527,615,404 = 22,462,247,939,682/x - Step 3: Cross multiply
40,024,317,987,939x = 55,230,527,615,404 × 22,462,247,939,682 - Step 4: Simplify right side
40,024,317,987,939x = 1,240,601,805,136,658,330,900,496,384 - Step 5: Solve for x
x = 1,240,601,805,136,658,330,900,496,384/40,024,317,987,939 - Step 6: Final answer
x = 30,996,200,997,366.24
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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.