Finding the Fourth Proportional to 179,765,394,962.24, 269,272,859,394.36 and 107,826,764,193.36
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Solution
The fourth proportional to 179,765,394,962.24, 269,272,859,394.36 and 107,826,764,193.36 is: 161,515,074,242.66
Step by Step Solution
- Step 1: Write the proportion equation
179,765,394,962.24 : 269,272,859,394.36 = 107,826,764,193.36 : x - Step 2: Convert to fraction form
179,765,394,962.24/269,272,859,394.36 = 107,826,764,193.36/x - Step 3: Cross multiply
179,765,394,962.24x = 269,272,859,394.36 × 107,826,764,193.36 - Step 4: Simplify right side
179,765,394,962.24x = 29,034,821,113,587,435,569,152 - Step 5: Solve for x
x = 29,034,821,113,587,435,569,152/179,765,394,962.24 - Step 6: Final answer
x = 161,515,074,242.66
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.