Finding the Fourth Proportional to 1,769,747,895,209, 2,442,226,104,063.30 and 988,492,424,121.65
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Solution
The fourth proportional to 1,769,747,895,209, 2,442,226,104,063.30 and 988,492,424,121.65 is: 1,364,105,027,837.09
Step by Step Solution
- Step 1: Write the proportion equation
1,769,747,895,209 : 2,442,226,104,063.30 = 988,492,424,121.65 : x - Step 2: Convert to fraction form
1,769,747,895,209/2,442,226,104,063.30 = 988,492,424,121.65/x - Step 3: Cross multiply
1,769,747,895,209x = 2,442,226,104,063.30 × 988,492,424,121.65 - Step 4: Simplify right side
1,769,747,895,209x = 2,414,122,001,858,704,300,834,816 - Step 5: Solve for x
x = 2,414,122,001,858,704,300,834,816/1,769,747,895,209 - Step 6: Final answer
x = 1,364,105,027,837.09
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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.