Finding the Fourth Proportional to 11,659,175,701,783, 16,090,168,235,214 and 6,456,604,370,777.60
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Solution
The fourth proportional to 11,659,175,701,783, 16,090,168,235,214 and 6,456,604,370,777.60 is: 8,910,394,114,580.71
Step by Step Solution
- Step 1: Write the proportion equation
11,659,175,701,783 : 16,090,168,235,214 = 6,456,604,370,777.60 : x - Step 2: Convert to fraction form
11,659,175,701,783/16,090,168,235,214 = 6,456,604,370,777.60/x - Step 3: Cross multiply
11,659,175,701,783x = 16,090,168,235,214 × 6,456,604,370,777.60 - Step 4: Simplify right side
11,659,175,701,783x = 103,887,850,554,029,615,897,116,672 - Step 5: Solve for x
x = 103,887,850,554,029,615,897,116,672/11,659,175,701,783 - Step 6: Final answer
x = 8,910,394,114,580.71
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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.