Finding the Fourth Proportional to 383,841,266,163.66, 529,717,598,063.16 and 212,563,197,653.14
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Solution
The fourth proportional to 383,841,266,163.66, 529,717,598,063.16 and 212,563,197,653.14 is: 293,346,433,599.55
Step by Step Solution
- Step 1: Write the proportion equation
383,841,266,163.66 : 529,717,598,063.16 = 212,563,197,653.14 : x - Step 2: Convert to fraction form
383,841,266,163.66/529,717,598,063.16 = 212,563,197,653.14/x - Step 3: Cross multiply
383,841,266,163.66x = 529,717,598,063.16 × 212,563,197,653.14 - Step 4: Simplify right side
383,841,266,163.66x = 112,598,466,497,446,049,480,704 - Step 5: Solve for x
x = 112,598,466,497,446,049,480,704/383,841,266,163.66 - Step 6: Final answer
x = 293,346,433,599.55
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.