Finding the Fourth Proportional to 213,686,911,936.34, 320,540,676,729.68 and 70,262,764,854.09
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Solution
The fourth proportional to 213,686,911,936.34, 320,540,676,729.68 and 70,262,764,854.09 is: 105,397,536,943.85
Step by Step Solution
- Step 1: Write the proportion equation
213,686,911,936.34 : 320,540,676,729.68 = 70,262,764,854.09 : x - Step 2: Convert to fraction form
213,686,911,936.34/320,540,676,729.68 = 70,262,764,854.09/x - Step 3: Cross multiply
213,686,911,936.34x = 320,540,676,729.68 × 70,262,764,854.09 - Step 4: Simplify right side
213,686,911,936.34x = 22,522,074,195,228,383,772,672 - Step 5: Solve for x
x = 22,522,074,195,228,383,772,672/213,686,911,936.34 - Step 6: Final answer
x = 105,397,536,943.85
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.