Finding the Fourth Proportional to 1,470,354,312.20, 2,206,182,774.10 and 770,680,167.44
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Solution
The fourth proportional to 1,470,354,312.20, 2,206,182,774.10 and 770,680,167.44 is: 1,156,361,630.42
Step by Step Solution
- Step 1: Write the proportion equation
1,470,354,312.20 : 2,206,182,774.10 = 770,680,167.44 : x - Step 2: Convert to fraction form
1,470,354,312.20/2,206,182,774.10 = 770,680,167.44/x - Step 3: Cross multiply
1,470,354,312.20x = 2,206,182,774.10 × 770,680,167.44 - Step 4: Simplify right side
1,470,354,312.20x = 1,700,261,309,751,578,624 - Step 5: Solve for x
x = 1,700,261,309,751,578,624/1,470,354,312.20 - Step 6: Final answer
x = 1,156,361,630.42
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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.