Finding the Fourth Proportional to 2,134,243,381.97, 3,202,459,474.48 and 1,029,790,149.68
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Solution
The fourth proportional to 2,134,243,381.97, 3,202,459,474.48 and 1,029,790,149.68 is: 1,545,213,282.34
Step by Step Solution
- Step 1: Write the proportion equation
2,134,243,381.97 : 3,202,459,474.48 = 1,029,790,149.68 : x - Step 2: Convert to fraction form
2,134,243,381.97/3,202,459,474.48 = 1,029,790,149.68/x - Step 3: Cross multiply
2,134,243,381.97x = 3,202,459,474.48 × 1,029,790,149.68 - Step 4: Simplify right side
2,134,243,381.97x = 3,297,861,221,550,306,304 - Step 5: Solve for x
x = 3,297,861,221,550,306,304/2,134,243,381.97 - Step 6: Final answer
x = 1,545,213,282.34
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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.