Finding the Fourth Proportional to 1,940,391,936,803.20, 2,910,587,905,204.80 and 683,698,766,627.20
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Solution
The fourth proportional to 1,940,391,936,803.20, 2,910,587,905,204.80 and 683,698,766,627.20 is: 1,025,548,149,940.80
Step by Step Solution
- Step 1: Write the proportion equation
1,940,391,936,803.20 : 2,910,587,905,204.80 = 683,698,766,627.20 : x - Step 2: Convert to fraction form
1,940,391,936,803.20/2,910,587,905,204.80 = 683,698,766,627.20/x - Step 3: Cross multiply
1,940,391,936,803.20x = 2,910,587,905,204.80 × 683,698,766,627.20 - Step 4: Simplify right side
1,940,391,936,803.20x = 1,989,965,360,948,567,078,862,848 - Step 5: Solve for x
x = 1,989,965,360,948,567,078,862,848/1,940,391,936,803.20 - Step 6: Final answer
x = 1,025,548,149,940.80
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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.