Finding the Fourth Proportional to 209,567,446,944.90, 314,351,170,417.35 and 77,042,217,351.30
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Solution
The fourth proportional to 209,567,446,944.90, 314,351,170,417.35 and 77,042,217,351.30 is: 115,563,326,026.95
Step by Step Solution
- Step 1: Write the proportion equation
209,567,446,944.90 : 314,351,170,417.35 = 77,042,217,351.30 : x - Step 2: Convert to fraction form
209,567,446,944.90/314,351,170,417.35 = 77,042,217,351.30/x - Step 3: Cross multiply
209,567,446,944.90x = 314,351,170,417.35 × 77,042,217,351.30 - Step 4: Simplify right side
209,567,446,944.90x = 24,218,311,195,929,025,183,744 - Step 5: Solve for x
x = 24,218,311,195,929,025,183,744/209,567,446,944.90 - Step 6: Final answer
x = 115,563,326,026.95
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1.5x scale
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.