Finding the Fourth Proportional to 523,371,105,069, 722,252,126,385.99 and 282,782,981,400
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Solution
The fourth proportional to 523,371,105,069, 722,252,126,385.99 and 282,782,981,400 is: 390,240,515,083.45
Step by Step Solution
- Step 1: Write the proportion equation
523,371,105,069 : 722,252,126,385.99 = 282,782,981,400 : x - Step 2: Convert to fraction form
523,371,105,069/722,252,126,385.99 = 282,782,981,400/x - Step 3: Cross multiply
523,371,105,069x = 722,252,126,385.99 × 282,782,981,400 - Step 4: Simplify right side
523,371,105,069x = 204,240,609,621,919,863,406,592 - Step 5: Solve for x
x = 204,240,609,621,919,863,406,592/523,371,105,069 - Step 6: Final answer
x = 390,240,515,083.45
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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.