Finding the Fourth Proportional to 2,580,936,466,484, 3,869,496,139,094.70 and 1,560,827,212,930.20
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Solution
The fourth proportional to 2,580,936,466,484, 3,869,496,139,094.70 and 1,560,827,212,930.20 is: 2,340,086,613,001.79
Step by Step Solution
- Step 1: Write the proportion equation
2,580,936,466,484 : 3,869,496,139,094.70 = 1,560,827,212,930.20 : x - Step 2: Convert to fraction form
2,580,936,466,484/3,869,496,139,094.70 = 1,560,827,212,930.20/x - Step 3: Cross multiply
2,580,936,466,484x = 3,869,496,139,094.70 × 1,560,827,212,930.20 - Step 4: Simplify right side
2,580,936,466,484x = 6,039,614,874,227,349,934,571,520 - Step 5: Solve for x
x = 6,039,614,874,227,349,934,571,520/2,580,936,466,484 - Step 6: Final answer
x = 2,340,086,613,001.79
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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.