Finding the Fourth Proportional to 48,330,317,702,668, 66,708,247,844,790 and 31,477,893,157,580
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Solution
The fourth proportional to 48,330,317,702,668, 66,708,247,844,790 and 31,477,893,157,580 is: 43,447,574,901,245.64
Step by Step Solution
- Step 1: Write the proportion equation
48,330,317,702,668 : 66,708,247,844,790 = 31,477,893,157,580 : x - Step 2: Convert to fraction form
48,330,317,702,668/66,708,247,844,790 = 31,477,893,157,580/x - Step 3: Cross multiply
48,330,317,702,668x = 66,708,247,844,790 × 31,477,893,157,580 - Step 4: Simplify right side
48,330,317,702,668x = 2,099,835,098,387,666,040,388,583,424 - Step 5: Solve for x
x = 2,099,835,098,387,666,040,388,583,424/48,330,317,702,668 - Step 6: Final answer
x = 43,447,574,901,245.64
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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.