Finding the Fourth Proportional to 1,616,665,319.84, 2,424,981,813.35 and 511,270,364.88
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Solution
The fourth proportional to 1,616,665,319.84, 2,424,981,813.35 and 511,270,364.88 is: 766,900,434.69
Step by Step Solution
- Step 1: Write the proportion equation
1,616,665,319.84 : 2,424,981,813.35 = 511,270,364.88 : x - Step 2: Convert to fraction form
1,616,665,319.84/2,424,981,813.35 = 511,270,364.88/x - Step 3: Cross multiply
1,616,665,319.84x = 2,424,981,813.35 × 511,270,364.88 - Step 4: Simplify right side
1,616,665,319.84x = 1,239,821,336,536,262,144 - Step 5: Solve for x
x = 1,239,821,336,536,262,144/1,616,665,319.84 - Step 6: Final answer
x = 766,900,434.69
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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.