Finding the Fourth Proportional to 1,769,747,895,224.80, 2,442,226,104,085.80 and 988,492,424,137.55
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Solution
The fourth proportional to 1,769,747,895,224.80, 2,442,226,104,085.80 and 988,492,424,137.55 is: 1,364,105,027,859.42
Step by Step Solution
- Step 1: Write the proportion equation
1,769,747,895,224.80 : 2,442,226,104,085.80 = 988,492,424,137.55 : x - Step 2: Convert to fraction form
1,769,747,895,224.80/2,442,226,104,085.80 = 988,492,424,137.55/x - Step 3: Cross multiply
1,769,747,895,224.80x = 2,442,226,104,085.80 × 988,492,424,137.55 - Step 4: Simplify right side
1,769,747,895,224.80x = 2,414,122,001,919,776,856,735,744 - Step 5: Solve for x
x = 2,414,122,001,919,776,856,735,744/1,769,747,895,224.80 - Step 6: Final answer
x = 1,364,105,027,859.42
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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.