Finding the Fourth Proportional to 546,102,579,716.75, 819,153,869,575.20 and 546,102,579,716.75
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Solution
The fourth proportional to 546,102,579,716.75, 819,153,869,575.20 and 546,102,579,716.75 is: 819,153,869,575.20
Step by Step Solution
- Step 1: Write the proportion equation
546,102,579,716.75 : 819,153,869,575.20 = 546,102,579,716.75 : x - Step 2: Convert to fraction form
546,102,579,716.75/819,153,869,575.20 = 546,102,579,716.75/x - Step 3: Cross multiply
546,102,579,716.75x = 819,153,869,575.20 × 546,102,579,716.75 - Step 4: Simplify right side
546,102,579,716.75x = 447,342,041,359,974,886,539,264 - Step 5: Solve for x
x = 447,342,041,359,974,886,539,264/546,102,579,716.75 - Step 6: Final answer
x = 819,153,869,575.20
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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.