Finding the Fourth Proportional to 543,021,875.40, 814,532,813.10 and 197,986,758.60
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Solution
The fourth proportional to 543,021,875.40, 814,532,813.10 and 197,986,758.60 is: 296,980,137.90
Step by Step Solution
- Step 1: Write the proportion equation
543,021,875.40 : 814,532,813.10 = 197,986,758.60 : x - Step 2: Convert to fraction form
543,021,875.40/814,532,813.10 = 197,986,758.60/x - Step 3: Cross multiply
543,021,875.40x = 814,532,813.10 × 197,986,758.60 - Step 4: Simplify right side
543,021,875.40x = 161,266,711,439,008,608 - Step 5: Solve for x
x = 161,266,711,439,008,608/543,021,875.40 - Step 6: Final answer
x = 296,980,137.90
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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.