Finding the Fourth Proportional to 1,522,348,189,815.20, 2,284,528,302,565.70 and 716,745,517,171.40
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Solution
The fourth proportional to 1,522,348,189,815.20, 2,284,528,302,565.70 and 716,745,517,171.40 is: 1,075,591,924,810.53
Step by Step Solution
- Step 1: Write the proportion equation
1,522,348,189,815.20 : 2,284,528,302,565.70 = 716,745,517,171.40 : x - Step 2: Convert to fraction form
1,522,348,189,815.20/2,284,528,302,565.70 = 716,745,517,171.40/x - Step 3: Cross multiply
1,522,348,189,815.20x = 2,284,528,302,565.70 × 716,745,517,171.40 - Step 4: Simplify right side
1,522,348,189,815.20x = 1,637,425,419,715,153,477,238,784 - Step 5: Solve for x
x = 1,637,425,419,715,153,477,238,784/1,522,348,189,815.20 - Step 6: Final answer
x = 1,075,591,924,810.53
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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.