Finding the Fourth Proportional to 4,747,266,417.65, 7,121,554,450.27 and 2,756,246,142.12
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Solution
The fourth proportional to 4,747,266,417.65, 7,121,554,450.27 and 2,756,246,142.12 is: 4,134,749,401.57
Step by Step Solution
- Step 1: Write the proportion equation
4,747,266,417.65 : 7,121,554,450.27 = 2,756,246,142.12 : x - Step 2: Convert to fraction form
4,747,266,417.65/7,121,554,450.27 = 2,756,246,142.12/x - Step 3: Cross multiply
4,747,266,417.65x = 7,121,554,450.27 × 2,756,246,142.12 - Step 4: Simplify right side
4,747,266,417.65x = 19,628,756,979,500,515,328 - Step 5: Solve for x
x = 19,628,756,979,500,515,328/4,747,266,417.65 - Step 6: Final answer
x = 4,134,749,401.57
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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.