Finding the Fourth Proportional to 29,180,126,749.05, 40,288,342,176.59 and 18,484,738,668.09
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Solution
The fourth proportional to 29,180,126,749.05, 40,288,342,176.59 and 18,484,738,668.09 is: 25,521,461,332.55
Step by Step Solution
- Step 1: Write the proportion equation
29,180,126,749.05 : 40,288,342,176.59 = 18,484,738,668.09 : x - Step 2: Convert to fraction form
29,180,126,749.05/40,288,342,176.59 = 18,484,738,668.09/x - Step 3: Cross multiply
29,180,126,749.05x = 40,288,342,176.59 × 18,484,738,668.09 - Step 4: Simplify right side
29,180,126,749.05x = 744,719,476,504,761,991,168 - Step 5: Solve for x
x = 744,719,476,504,761,991,168/29,180,126,749.05 - Step 6: Final answer
x = 25,521,461,332.55
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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.