Finding the Fourth Proportional to 829,147,702,550.70, 1,243,721,553,826 and 829,147,702,550.70
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Solution
The fourth proportional to 829,147,702,550.70, 1,243,721,553,826 and 829,147,702,550.70 is: 1,243,721,553,826
Step by Step Solution
- Step 1: Write the proportion equation
829,147,702,550.70 : 1,243,721,553,826 = 829,147,702,550.70 : x - Step 2: Convert to fraction form
829,147,702,550.70/1,243,721,553,826 = 829,147,702,550.70/x - Step 3: Cross multiply
829,147,702,550.70x = 1,243,721,553,826 × 829,147,702,550.70 - Step 4: Simplify right side
829,147,702,550.70x = 1,031,228,868,967,614,583,406,592 - Step 5: Solve for x
x = 1,031,228,868,967,614,583,406,592/829,147,702,550.70 - Step 6: Final answer
x = 1,243,721,553,826
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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.