Finding the Fourth Proportional to 1,513,362,771.40, 2,270,044,157.10 and 929,202,824.20
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Solution
The fourth proportional to 1,513,362,771.40, 2,270,044,157.10 and 929,202,824.20 is: 1,393,804,236.30
Step by Step Solution
- Step 1: Write the proportion equation
1,513,362,771.40 : 2,270,044,157.10 = 929,202,824.20 : x - Step 2: Convert to fraction form
1,513,362,771.40/2,270,044,157.10 = 929,202,824.20/x - Step 3: Cross multiply
1,513,362,771.40x = 2,270,044,157.10 × 929,202,824.20 - Step 4: Simplify right side
1,513,362,771.40x = 2,109,331,441,836,028,416 - Step 5: Solve for x
x = 2,109,331,441,836,028,416/1,513,362,771.40 - Step 6: Final answer
x = 1,393,804,236.30
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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.