Finding the Fourth Proportional to 1,451,609,806,716.60, 2,003,214,548,812.40 and 801,282,701,764.62
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Solution
The fourth proportional to 1,451,609,806,716.60, 2,003,214,548,812.40 and 801,282,701,764.62 is: 1,105,766,273,043.63
Step by Step Solution
- Step 1: Write the proportion equation
1,451,609,806,716.60 : 2,003,214,548,812.40 = 801,282,701,764.62 : x - Step 2: Convert to fraction form
1,451,609,806,716.60/2,003,214,548,812.40 = 801,282,701,764.62/x - Step 3: Cross multiply
1,451,609,806,716.60x = 2,003,214,548,812.40 × 801,282,701,764.62 - Step 4: Simplify right side
1,451,609,806,716.60x = 1,605,141,165,886,594,141,388,800 - Step 5: Solve for x
x = 1,605,141,165,886,594,141,388,800/1,451,609,806,716.60 - Step 6: Final answer
x = 1,105,766,273,043.63
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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.