Finding the Fourth Proportional to 2,497,646,360,149, 3,743,825,353,312.50 and 840,125,567,446.73
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Solution
The fourth proportional to 2,497,646,360,149, 3,743,825,353,312.50 and 840,125,567,446.73 is: 1,259,298,934,211.60
Step by Step Solution
- Step 1: Write the proportion equation
2,497,646,360,149 : 3,743,825,353,312.50 = 840,125,567,446.73 : x - Step 2: Convert to fraction form
2,497,646,360,149/3,743,825,353,312.50 = 840,125,567,446.73/x - Step 3: Cross multiply
2,497,646,360,149x = 3,743,825,353,312.50 × 840,125,567,446.73 - Step 4: Simplify right side
2,497,646,360,149x = 3,145,283,399,373,118,429,462,528 - Step 5: Solve for x
x = 3,145,283,399,373,118,429,462,528/2,497,646,360,149 - Step 6: Final answer
x = 1,259,298,934,211.60
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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.