Finding the Fourth Proportional to 4,633,996,942.70, 6,950,995,414.05 and 3,164,668,865.90
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Solution
The fourth proportional to 4,633,996,942.70, 6,950,995,414.05 and 3,164,668,865.90 is: 4,747,003,298.85
Step by Step Solution
- Step 1: Write the proportion equation
4,633,996,942.70 : 6,950,995,414.05 = 3,164,668,865.90 : x - Step 2: Convert to fraction form
4,633,996,942.70/6,950,995,414.05 = 3,164,668,865.90/x - Step 3: Cross multiply
4,633,996,942.70x = 6,950,995,414.05 × 3,164,668,865.90 - Step 4: Simplify right side
4,633,996,942.70x = 21,997,598,773,857,714,176 - Step 5: Solve for x
x = 21,997,598,773,857,714,176/4,633,996,942.70 - Step 6: Final answer
x = 4,747,003,298.85
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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.