Finding the Fourth Proportional to 2,409,378,304,337.20, 3,614,544,432,686.90 and 688,341,295,138.24
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Solution
The fourth proportional to 2,409,378,304,337.20, 3,614,544,432,686.90 and 688,341,295,138.24 is: 1,032,648,211,221.80
Step by Step Solution
- Step 1: Write the proportion equation
2,409,378,304,337.20 : 3,614,544,432,686.90 = 688,341,295,138.24 : x - Step 2: Convert to fraction form
2,409,378,304,337.20/3,614,544,432,686.90 = 688,341,295,138.24/x - Step 3: Cross multiply
2,409,378,304,337.20x = 3,614,544,432,686.90 × 688,341,295,138.24 - Step 4: Simplify right side
2,409,378,304,337.20x = 2,488,040,196,130,415,832,989,696 - Step 5: Solve for x
x = 2,488,040,196,130,415,832,989,696/2,409,378,304,337.20 - Step 6: Final answer
x = 1,032,648,211,221.80
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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.