Finding the Fourth Proportional to 1,612,156,962,202.40, 2,418,575,070,122.60 and 522,968,911,452.60
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Solution
The fourth proportional to 1,612,156,962,202.40, 2,418,575,070,122.60 and 522,968,911,452.60 is: 784,563,538,999.63
Step by Step Solution
- Step 1: Write the proportion equation
1,612,156,962,202.40 : 2,418,575,070,122.60 = 522,968,911,452.60 : x - Step 2: Convert to fraction form
1,612,156,962,202.40/2,418,575,070,122.60 = 522,968,911,452.60/x - Step 3: Cross multiply
1,612,156,962,202.40x = 2,418,575,070,122.60 × 522,968,911,452.60 - Step 4: Simplify right side
1,612,156,962,202.40x = 1,264,839,571,688,411,761,737,728 - Step 5: Solve for x
x = 1,264,839,571,688,411,761,737,728/1,612,156,962,202.40 - Step 6: Final answer
x = 784,563,538,999.63
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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.