Finding the Fourth Proportional to 42,640,104,967,148, 58,843,344,854,660 and 24,391,050,253,292
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Solution
The fourth proportional to 42,640,104,967,148, 58,843,344,854,660 and 24,391,050,253,292 is: 33,659,649,349,540.53
Step by Step Solution
- Step 1: Write the proportion equation
42,640,104,967,148 : 58,843,344,854,660 = 24,391,050,253,292 : x - Step 2: Convert to fraction form
42,640,104,967,148/58,843,344,854,660 = 24,391,050,253,292/x - Step 3: Cross multiply
42,640,104,967,148x = 58,843,344,854,660 × 24,391,050,253,292 - Step 4: Simplify right side
42,640,104,967,148x = 1,435,250,981,421,803,234,853,388,288 - Step 5: Solve for x
x = 1,435,250,981,421,803,234,853,388,288/42,640,104,967,148 - Step 6: Final answer
x = 33,659,649,349,540.53
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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.