Finding the Fourth Proportional to 23,370,390,173,268, 32,237,739,084,198 and 14,575,782,531,246
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Solution
The fourth proportional to 23,370,390,173,268, 32,237,739,084,198 and 14,575,782,531,246 is: 20,106,222,904,562.34
Step by Step Solution
- Step 1: Write the proportion equation
23,370,390,173,268 : 32,237,739,084,198 = 14,575,782,531,246 : x - Step 2: Convert to fraction form
23,370,390,173,268/32,237,739,084,198 = 14,575,782,531,246/x - Step 3: Cross multiply
23,370,390,173,268x = 32,237,739,084,198 × 14,575,782,531,246 - Step 4: Simplify right side
23,370,390,173,268x = 469,890,274,190,319,651,303,456,768 - Step 5: Solve for x
x = 469,890,274,190,319,651,303,456,768/23,370,390,173,268 - Step 6: Final answer
x = 20,106,222,904,562.34
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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.