Finding the Fourth Proportional to 4,700,018,337,651.20, 7,053,247,859,960 and 1,640,370,939,415.40
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Solution
The fourth proportional to 4,700,018,337,651.20, 7,053,247,859,960 and 1,640,370,939,415.40 is: 2,461,680,356,709.89
Step by Step Solution
- Step 1: Write the proportion equation
4,700,018,337,651.20 : 7,053,247,859,960 = 1,640,370,939,415.40 : x - Step 2: Convert to fraction form
4,700,018,337,651.20/7,053,247,859,960 = 1,640,370,939,415.40/x - Step 3: Cross multiply
4,700,018,337,651.20x = 7,053,247,859,960 × 1,640,370,939,415.40 - Step 4: Simplify right side
4,700,018,337,651.20x = 11,569,942,817,972,245,101,543,424 - Step 5: Solve for x
x = 11,569,942,817,972,245,101,543,424/4,700,018,337,651.20 - Step 6: Final answer
x = 2,461,680,356,709.89
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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.