Finding the Fourth Proportional to 671,797,531,879.47, 1,008,413,403,431.50 and 289,530,257,496.61
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Solution
The fourth proportional to 671,797,531,879.47, 1,008,413,403,431.50 and 289,530,257,496.61 is: 434,604,443,308.58
Step by Step Solution
- Step 1: Write the proportion equation
671,797,531,879.47 : 1,008,413,403,431.50 = 289,530,257,496.61 : x - Step 2: Convert to fraction form
671,797,531,879.47/1,008,413,403,431.50 = 289,530,257,496.61/x - Step 3: Cross multiply
671,797,531,879.47x = 1,008,413,403,431.50 × 289,530,257,496.61 - Step 4: Simplify right side
671,797,531,879.47x = 291,966,192,358,555,041,923,072 - Step 5: Solve for x
x = 291,966,192,358,555,041,923,072/671,797,531,879.47 - Step 6: Final answer
x = 434,604,443,308.58
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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.