Finding the Fourth Proportional to 48,330,317,702,600, 66,708,247,844,694 and 31,477,893,157,518
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Solution
The fourth proportional to 48,330,317,702,600, 66,708,247,844,694 and 31,477,893,157,518 is: 43,447,574,901,158.67
Step by Step Solution
- Step 1: Write the proportion equation
48,330,317,702,600 : 66,708,247,844,694 = 31,477,893,157,518 : x - Step 2: Convert to fraction form
48,330,317,702,600/66,708,247,844,694 = 31,477,893,157,518/x - Step 3: Cross multiply
48,330,317,702,600x = 66,708,247,844,694 × 31,477,893,157,518 - Step 4: Simplify right side
48,330,317,702,600x = 2,099,835,098,380,508,219,691,761,664 - Step 5: Solve for x
x = 2,099,835,098,380,508,219,691,761,664/48,330,317,702,600 - Step 6: Final answer
x = 43,447,574,901,158.67
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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.