Finding the Fourth Proportional to 2,497,646,360,132.50, 3,743,825,353,288 and 840,125,567,430.20
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Solution
The fourth proportional to 2,497,646,360,132.50, 3,743,825,353,288 and 840,125,567,430.20 is: 1,259,298,934,186.90
Step by Step Solution
- Step 1: Write the proportion equation
2,497,646,360,132.50 : 3,743,825,353,288 = 840,125,567,430.20 : x - Step 2: Convert to fraction form
2,497,646,360,132.50/3,743,825,353,288 = 840,125,567,430.20/x - Step 3: Cross multiply
2,497,646,360,132.50x = 3,743,825,353,288 × 840,125,567,430.20 - Step 4: Simplify right side
2,497,646,360,132.50x = 3,145,283,399,290,649,688,670,208 - Step 5: Solve for x
x = 3,145,283,399,290,649,688,670,208/2,497,646,360,132.50 - Step 6: Final answer
x = 1,259,298,934,186.90
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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.