Finding the Fourth Proportional to 2,409,378,304,338.20, 3,614,544,432,688.20 and 688,341,295,139.16
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Solution
The fourth proportional to 2,409,378,304,338.20, 3,614,544,432,688.20 and 688,341,295,139.16 is: 1,032,648,211,223.12
Step by Step Solution
- Step 1: Write the proportion equation
2,409,378,304,338.20 : 3,614,544,432,688.20 = 688,341,295,139.16 : x - Step 2: Convert to fraction form
2,409,378,304,338.20/3,614,544,432,688.20 = 688,341,295,139.16/x - Step 3: Cross multiply
2,409,378,304,338.20x = 3,614,544,432,688.20 × 688,341,295,139.16 - Step 4: Simplify right side
2,409,378,304,338.20x = 2,488,040,196,134,636,175,228,928 - Step 5: Solve for x
x = 2,488,040,196,134,636,175,228,928/2,409,378,304,338.20 - Step 6: Final answer
x = 1,032,648,211,223.12
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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.