Finding the Fourth Proportional to 2,497,646,360,147.60, 3,743,825,353,310.40 and 840,125,567,445.24
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Solution
The fourth proportional to 2,497,646,360,147.60, 3,743,825,353,310.40 and 840,125,567,445.24 is: 1,259,298,934,209.37
Step by Step Solution
- Step 1: Write the proportion equation
2,497,646,360,147.60 : 3,743,825,353,310.40 = 840,125,567,445.24 : x - Step 2: Convert to fraction form
2,497,646,360,147.60/3,743,825,353,310.40 = 840,125,567,445.24/x - Step 3: Cross multiply
2,497,646,360,147.60x = 3,743,825,353,310.40 × 840,125,567,445.24 - Step 4: Simplify right side
2,497,646,360,147.60x = 3,145,283,399,365,775,645,999,104 - Step 5: Solve for x
x = 3,145,283,399,365,775,645,999,104/2,497,646,360,147.60 - Step 6: Final answer
x = 1,259,298,934,209.37
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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.