Finding the Fourth Proportional to 51,719,176,723.09, 77,578,765,084.63 and 51,719,176,723.09
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Solution
The fourth proportional to 51,719,176,723.09, 77,578,765,084.63 and 51,719,176,723.09 is: 77,578,765,084.63
Step by Step Solution
- Step 1: Write the proportion equation
51,719,176,723.09 : 77,578,765,084.63 = 51,719,176,723.09 : x - Step 2: Convert to fraction form
51,719,176,723.09/77,578,765,084.63 = 51,719,176,723.09/x - Step 3: Cross multiply
51,719,176,723.09x = 77,578,765,084.63 × 51,719,176,723.09 - Step 4: Simplify right side
51,719,176,723.09x = 4,012,309,861,370,675,331,072 - Step 5: Solve for x
x = 4,012,309,861,370,675,331,072/51,719,176,723.09 - Step 6: Final answer
x = 77,578,765,084.63
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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.