Finding the Fourth Proportional to 4,900,263,285,567, 6,762,956,317,762.80 and 2,788,974,206,499.80
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Solution
The fourth proportional to 4,900,263,285,567, 6,762,956,317,762.80 and 2,788,974,206,499.80 is: 3,849,121,900,343.54
Step by Step Solution
- Step 1: Write the proportion equation
4,900,263,285,567 : 6,762,956,317,762.80 = 2,788,974,206,499.80 : x - Step 2: Convert to fraction form
4,900,263,285,567/6,762,956,317,762.80 = 2,788,974,206,499.80/x - Step 3: Cross multiply
4,900,263,285,567x = 6,762,956,317,762.80 × 2,788,974,206,499.80 - Step 4: Simplify right side
4,900,263,285,567x = 18,861,710,729,925,311,869,222,912 - Step 5: Solve for x
x = 18,861,710,729,925,311,869,222,912/4,900,263,285,567 - Step 6: Final answer
x = 3,849,121,900,343.54
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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.