Finding the Fourth Proportional to 309,466,226,716.26, 464,411,379,811.12 and 108,007,961,812.80
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Solution
The fourth proportional to 309,466,226,716.26, 464,411,379,811.12 and 108,007,961,812.80 is: 162,085,947,498.43
Step by Step Solution
- Step 1: Write the proportion equation
309,466,226,716.26 : 464,411,379,811.12 = 108,007,961,812.80 : x - Step 2: Convert to fraction form
309,466,226,716.26/464,411,379,811.12 = 108,007,961,812.80/x - Step 3: Cross multiply
309,466,226,716.26x = 464,411,379,811.12 × 108,007,961,812.80 - Step 4: Simplify right side
309,466,226,716.26x = 50,160,126,576,069,208,702,976 - Step 5: Solve for x
x = 50,160,126,576,069,208,702,976/309,466,226,716.26 - Step 6: Final answer
x = 162,085,947,498.43
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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.