Finding the Fourth Proportional to 1,649,121,803.10, 2,473,682,704.65 and 994,811,643.90
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Solution
The fourth proportional to 1,649,121,803.10, 2,473,682,704.65 and 994,811,643.90 is: 1,492,217,465.85
Step by Step Solution
- Step 1: Write the proportion equation
1,649,121,803.10 : 2,473,682,704.65 = 994,811,643.90 : x - Step 2: Convert to fraction form
1,649,121,803.10/2,473,682,704.65 = 994,811,643.90/x - Step 3: Cross multiply
1,649,121,803.10x = 2,473,682,704.65 × 994,811,643.90 - Step 4: Simplify right side
1,649,121,803.10x = 2,460,848,357,899,864,576 - Step 5: Solve for x
x = 2,460,848,357,899,864,576/1,649,121,803.10 - Step 6: Final answer
x = 1,492,217,465.85
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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.