Finding the Fourth Proportional to 5,409,841,668,899, 7,465,586,313,664.80 and 2,940,652,541,102.60
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Solution
The fourth proportional to 5,409,841,668,899, 7,465,586,313,664.80 and 2,940,652,541,102.60 is: 4,058,103,121,632.98
Step by Step Solution
- Step 1: Write the proportion equation
5,409,841,668,899 : 7,465,586,313,664.80 = 2,940,652,541,102.60 : x - Step 2: Convert to fraction form
5,409,841,668,899/7,465,586,313,664.80 = 2,940,652,541,102.60/x - Step 3: Cross multiply
5,409,841,668,899x = 7,465,586,313,664.80 × 2,940,652,541,102.60 - Step 4: Simplify right side
5,409,841,668,899x = 21,953,695,364,099,184,999,268,352 - Step 5: Solve for x
x = 21,953,695,364,099,184,999,268,352/5,409,841,668,899 - Step 6: Final answer
x = 4,058,103,121,632.98
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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.