Finding the Fourth Proportional to 1,846,142,757.20, 2,769,214,135.80 and 553,678,245.20
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Solution
The fourth proportional to 1,846,142,757.20, 2,769,214,135.80 and 553,678,245.20 is: 830,517,367.80
Step by Step Solution
- Step 1: Write the proportion equation
1,846,142,757.20 : 2,769,214,135.80 = 553,678,245.20 : x - Step 2: Convert to fraction form
1,846,142,757.20/2,769,214,135.80 = 553,678,245.20/x - Step 3: Cross multiply
1,846,142,757.20x = 2,769,214,135.80 × 553,678,245.20 - Step 4: Simplify right side
1,846,142,757.20x = 1,533,253,623,292,778,752 - Step 5: Solve for x
x = 1,533,253,623,292,778,752/1,846,142,757.20 - Step 6: Final answer
x = 830,517,367.80
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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.