Finding the Fourth Proportional to 2,209,292,822,491, 3,048,381,916,277.40 and 1,233,660,582,537.60
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Solution
The fourth proportional to 2,209,292,822,491, 3,048,381,916,277.40 and 1,233,660,582,537.60 is: 1,702,204,692,989.35
Step by Step Solution
- Step 1: Write the proportion equation
2,209,292,822,491 : 3,048,381,916,277.40 = 1,233,660,582,537.60 : x - Step 2: Convert to fraction form
2,209,292,822,491/3,048,381,916,277.40 = 1,233,660,582,537.60/x - Step 3: Cross multiply
2,209,292,822,491x = 3,048,381,916,277.40 × 1,233,660,582,537.60 - Step 4: Simplify right side
2,209,292,822,491x = 3,760,668,610,631,862,839,148,544 - Step 5: Solve for x
x = 3,760,668,610,631,862,839,148,544/2,209,292,822,491 - Step 6: Final answer
x = 1,702,204,692,989.35
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.