Finding the Fourth Proportional to 4,747,105,252.75, 6,551,005,307.13 and 2,661,022,180.75
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Solution
The fourth proportional to 4,747,105,252.75, 6,551,005,307.13 and 2,661,022,180.75 is: 3,672,210,642.14
Step by Step Solution
- Step 1: Write the proportion equation
4,747,105,252.75 : 6,551,005,307.13 = 2,661,022,180.75 : x - Step 2: Convert to fraction form
4,747,105,252.75/6,551,005,307.13 = 2,661,022,180.75/x - Step 3: Cross multiply
4,747,105,252.75x = 6,551,005,307.13 × 2,661,022,180.75 - Step 4: Simplify right side
4,747,105,252.75x = 17,432,370,428,483,897,344 - Step 5: Solve for x
x = 17,432,370,428,483,897,344/4,747,105,252.75 - Step 6: Final answer
x = 3,672,210,642.14
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Double scale
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1.5x scale
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.