Finding the Fourth Proportional to 29,180,126,737.80, 40,288,342,161.06 and 18,484,738,656.84
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Solution
The fourth proportional to 29,180,126,737.80, 40,288,342,161.06 and 18,484,738,656.84 is: 25,521,461,317.02
Step by Step Solution
- Step 1: Write the proportion equation
29,180,126,737.80 : 40,288,342,161.06 = 18,484,738,656.84 : x - Step 2: Convert to fraction form
29,180,126,737.80/40,288,342,161.06 = 18,484,738,656.84/x - Step 3: Cross multiply
29,180,126,737.80x = 40,288,342,161.06 × 18,484,738,656.84 - Step 4: Simplify right side
29,180,126,737.80x = 744,719,475,764,542,570,496 - Step 5: Solve for x
x = 744,719,475,764,542,570,496/29,180,126,737.80 - Step 6: Final answer
x = 25,521,461,317.02
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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.