Finding the Fourth Proportional to 5,220,292,020,906.40, 7,203,678,395,059 and 2,876,360,234,698.20
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Solution
The fourth proportional to 5,220,292,020,906.40, 7,203,678,395,059 and 2,876,360,234,698.20 is: 3,969,198,273,989.39
Step by Step Solution
- Step 1: Write the proportion equation
5,220,292,020,906.40 : 7,203,678,395,059 = 2,876,360,234,698.20 : x - Step 2: Convert to fraction form
5,220,292,020,906.40/7,203,678,395,059 = 2,876,360,234,698.20/x - Step 3: Cross multiply
5,220,292,020,906.40x = 7,203,678,395,059 × 2,876,360,234,698.20 - Step 4: Simplify right side
5,220,292,020,906.40x = 20,720,374,079,102,258,417,500,160 - Step 5: Solve for x
x = 20,720,374,079,102,258,417,500,160/5,220,292,020,906.40 - Step 6: Final answer
x = 3,969,198,273,989.39
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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.