Finding the Fourth Proportional to 1,510,348,032,015, 2,265,522,048,022 and 1,510,348,032,015
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Solution
The fourth proportional to 1,510,348,032,015, 2,265,522,048,022 and 1,510,348,032,015 is: 2,265,522,048,022
Step by Step Solution
- Step 1: Write the proportion equation
1,510,348,032,015 : 2,265,522,048,022 = 1,510,348,032,015 : x - Step 2: Convert to fraction form
1,510,348,032,015/2,265,522,048,022 = 1,510,348,032,015/x - Step 3: Cross multiply
1,510,348,032,015x = 2,265,522,048,022 × 1,510,348,032,015 - Step 4: Simplify right side
1,510,348,032,015x = 3,421,726,766,716,620,130,746,368 - Step 5: Solve for x
x = 3,421,726,766,716,620,130,746,368/1,510,348,032,015 - Step 6: Final answer
x = 2,265,522,048,022
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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.