Finding the Fourth Proportional to 2,133,929,378.80, 3,202,685,658.60 and 971,187,209.20
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Solution
The fourth proportional to 2,133,929,378.80, 3,202,685,658.60 and 971,187,209.20 is: 1,457,596,196.77
Step by Step Solution
- Step 1: Write the proportion equation
2,133,929,378.80 : 3,202,685,658.60 = 971,187,209.20 : x - Step 2: Convert to fraction form
2,133,929,378.80/3,202,685,658.60 = 971,187,209.20/x - Step 3: Cross multiply
2,133,929,378.80x = 3,202,685,658.60 × 971,187,209.20 - Step 4: Simplify right side
2,133,929,378.80x = 3,110,407,346,720,598,016 - Step 5: Solve for x
x = 3,110,407,346,720,598,016/2,133,929,378.80 - Step 6: Final answer
x = 1,457,596,196.77
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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.