Finding the Fourth Proportional to 402,182,674,949.29, 603,335,999,704.35 and 137,125,073,195.05
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Solution
The fourth proportional to 402,182,674,949.29, 603,335,999,704.35 and 137,125,073,195.05 is: 205,708,744,493.03
Step by Step Solution
- Step 1: Write the proportion equation
402,182,674,949.29 : 603,335,999,704.35 = 137,125,073,195.05 : x - Step 2: Convert to fraction form
402,182,674,949.29/603,335,999,704.35 = 137,125,073,195.05/x - Step 3: Cross multiply
402,182,674,949.29x = 603,335,999,704.35 × 137,125,073,195.05 - Step 4: Simplify right side
402,182,674,949.29x = 82,732,493,120,667,652,194,304 - Step 5: Solve for x
x = 82,732,493,120,667,652,194,304/402,182,674,949.29 - Step 6: Final answer
x = 205,708,744,493.03
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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.