Finding the Fourth Proportional to 4,900,263,285,569, 6,762,956,317,765.60 and 2,788,974,206,501.80
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Solution
The fourth proportional to 4,900,263,285,569, 6,762,956,317,765.60 and 2,788,974,206,501.80 is: 3,849,121,900,346.32
Step by Step Solution
- Step 1: Write the proportion equation
4,900,263,285,569 : 6,762,956,317,765.60 = 2,788,974,206,501.80 : x - Step 2: Convert to fraction form
4,900,263,285,569/6,762,956,317,765.60 = 2,788,974,206,501.80/x - Step 3: Cross multiply
4,900,263,285,569x = 6,762,956,317,765.60 × 2,788,974,206,501.80 - Step 4: Simplify right side
4,900,263,285,569x = 18,861,710,729,946,647,119,265,792 - Step 5: Solve for x
x = 18,861,710,729,946,647,119,265,792/4,900,263,285,569 - Step 6: Final answer
x = 3,849,121,900,346.32
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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.