Finding the Fourth Proportional to 523,371,104,950.68, 722,252,126,222.28 and 282,782,981,281.68
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Solution
The fourth proportional to 523,371,104,950.68, 722,252,126,222.28 and 282,782,981,281.68 is: 390,240,514,919.94
Step by Step Solution
- Step 1: Write the proportion equation
523,371,104,950.68 : 722,252,126,222.28 = 282,782,981,281.68 : x - Step 2: Convert to fraction form
523,371,104,950.68/722,252,126,222.28 = 282,782,981,281.68/x - Step 3: Cross multiply
523,371,104,950.68x = 722,252,126,222.28 × 282,782,981,281.68 - Step 4: Simplify right side
523,371,104,950.68x = 204,240,609,490,168,587,485,184 - Step 5: Solve for x
x = 204,240,609,490,168,587,485,184/523,371,104,950.68 - Step 6: Final answer
x = 390,240,514,919.94
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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.