Finding the Fourth Proportional to 2,133,929,370.30, 3,202,685,645.85 and 971,187,200.70
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Solution
The fourth proportional to 2,133,929,370.30, 3,202,685,645.85 and 971,187,200.70 is: 1,457,596,184.02
Step by Step Solution
- Step 1: Write the proportion equation
2,133,929,370.30 : 3,202,685,645.85 = 971,187,200.70 : x - Step 2: Convert to fraction form
2,133,929,370.30/3,202,685,645.85 = 971,187,200.70/x - Step 3: Cross multiply
2,133,929,370.30x = 3,202,685,645.85 × 971,187,200.70 - Step 4: Simplify right side
2,133,929,370.30x = 3,110,407,307,115,132,928 - Step 5: Solve for x
x = 3,110,407,307,115,132,928/2,133,929,370.30 - Step 6: Final answer
x = 1,457,596,184.02
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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.