Finding the Fourth Proportional to 1,522,348,189,809.60, 2,284,528,302,557.10 and 716,745,517,165.67
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Solution
The fourth proportional to 1,522,348,189,809.60, 2,284,528,302,557.10 and 716,745,517,165.67 is: 1,075,591,924,801.84
Step by Step Solution
- Step 1: Write the proportion equation
1,522,348,189,809.60 : 2,284,528,302,557.10 = 716,745,517,165.67 : x - Step 2: Convert to fraction form
1,522,348,189,809.60/2,284,528,302,557.10 = 716,745,517,165.67/x - Step 3: Cross multiply
1,522,348,189,809.60x = 2,284,528,302,557.10 × 716,745,517,165.67 - Step 4: Simplify right side
1,522,348,189,809.60x = 1,637,425,419,695,899,138,850,816 - Step 5: Solve for x
x = 1,637,425,419,695,899,138,850,816/1,522,348,189,809.60 - Step 6: Final answer
x = 1,075,591,924,801.84
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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.