Finding the Fourth Proportional to 205,782,708,569.24, 308,639,826,257.49 and 62,327,629,743.02
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Solution
The fourth proportional to 205,782,708,569.24, 308,639,826,257.49 and 62,327,629,743.02 is: 93,481,075,007.11
Step by Step Solution
- Step 1: Write the proportion equation
205,782,708,569.24 : 308,639,826,257.49 = 62,327,629,743.02 : x - Step 2: Convert to fraction form
205,782,708,569.24/308,639,826,257.49 = 62,327,629,743.02/x - Step 3: Cross multiply
205,782,708,569.24x = 308,639,826,257.49 × 62,327,629,743.02 - Step 4: Simplify right side
205,782,708,569.24x = 19,236,788,814,926,858,682,368 - Step 5: Solve for x
x = 19,236,788,814,926,858,682,368/205,782,708,569.24 - Step 6: Final answer
x = 93,481,075,007.11
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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.