Finding the Fourth Proportional to 2,654,400,608.97, 3,982,125,425.70 and 973,701,700.14
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Solution
The fourth proportional to 2,654,400,608.97, 3,982,125,425.70 and 973,701,700.14 is: 1,460,744,954.65
Step by Step Solution
- Step 1: Write the proportion equation
2,654,400,608.97 : 3,982,125,425.70 = 973,701,700.14 : x - Step 2: Convert to fraction form
2,654,400,608.97/3,982,125,425.70 = 973,701,700.14/x - Step 3: Cross multiply
2,654,400,608.97x = 3,982,125,425.70 × 973,701,700.14 - Step 4: Simplify right side
2,654,400,608.97x = 3,877,402,297,174,811,136 - Step 5: Solve for x
x = 3,877,402,297,174,811,136/2,654,400,608.97 - Step 6: Final answer
x = 1,460,744,954.65
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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.