Finding the Fourth Proportional to 2,646,161,289.19, 3,969,351,474.53 and 780,806,949.53
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Solution
The fourth proportional to 2,646,161,289.19, 3,969,351,474.53 and 780,806,949.53 is: 1,171,242,746.65
Step by Step Solution
- Step 1: Write the proportion equation
2,646,161,289.19 : 3,969,351,474.53 = 780,806,949.53 : x - Step 2: Convert to fraction form
2,646,161,289.19/3,969,351,474.53 = 780,806,949.53/x - Step 3: Cross multiply
2,646,161,289.19x = 3,969,351,474.53 × 780,806,949.53 - Step 4: Simplify right side
2,646,161,289.19x = 3,099,297,216,434,411,008 - Step 5: Solve for x
x = 3,099,297,216,434,411,008/2,646,161,289.19 - Step 6: Final answer
x = 1,171,242,746.65
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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.