Finding the Fourth Proportional to 1,522,348,189,721.40, 2,284,528,302,425.40 and 716,745,517,078.07
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Solution
The fourth proportional to 1,522,348,189,721.40, 2,284,528,302,425.40 and 716,745,517,078.07 is: 1,075,591,924,670.69
Step by Step Solution
- Step 1: Write the proportion equation
1,522,348,189,721.40 : 2,284,528,302,425.40 = 716,745,517,078.07 : x - Step 2: Convert to fraction form
1,522,348,189,721.40/2,284,528,302,425.40 = 716,745,517,078.07/x - Step 3: Cross multiply
1,522,348,189,721.40x = 2,284,528,302,425.40 × 716,745,517,078.07 - Step 4: Simplify right side
1,522,348,189,721.40x = 1,637,425,419,401,378,735,849,472 - Step 5: Solve for x
x = 1,637,425,419,401,378,735,849,472/1,522,348,189,721.40 - Step 6: Final answer
x = 1,075,591,924,670.69
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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.