Finding the Fourth Proportional to 1,616,266,768,529, 2,424,406,442,672.10 and 391,023,922,729.99
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Solution
The fourth proportional to 1,616,266,768,529, 2,424,406,442,672.10 and 391,023,922,729.99 is: 586,537,405,807.27
Step by Step Solution
- Step 1: Write the proportion equation
1,616,266,768,529 : 2,424,406,442,672.10 = 391,023,922,729.99 : x - Step 2: Convert to fraction form
1,616,266,768,529/2,424,406,442,672.10 = 391,023,922,729.99/x - Step 3: Cross multiply
1,616,266,768,529x = 2,424,406,442,672.10 × 391,023,922,729.99 - Step 4: Simplify right side
1,616,266,768,529x = 948,000,917,505,505,109,213,184 - Step 5: Solve for x
x = 948,000,917,505,505,109,213,184/1,616,266,768,529 - Step 6: Final answer
x = 586,537,405,807.27
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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.