Finding the Fourth Proportional to 10,684,669,662,665, 16,027,004,493,998 and 10,684,669,662,665
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Solution
The fourth proportional to 10,684,669,662,665, 16,027,004,493,998 and 10,684,669,662,665 is: 16,027,004,493,998
Step by Step Solution
- Step 1: Write the proportion equation
10,684,669,662,665 : 16,027,004,493,998 = 10,684,669,662,665 : x - Step 2: Convert to fraction form
10,684,669,662,665/16,027,004,493,998 = 10,684,669,662,665/x - Step 3: Cross multiply
10,684,669,662,665x = 16,027,004,493,998 × 10,684,669,662,665 - Step 4: Simplify right side
10,684,669,662,665x = 171,243,248,700,416,055,285,121,024 - Step 5: Solve for x
x = 171,243,248,700,416,055,285,121,024/10,684,669,662,665 - Step 6: Final answer
x = 16,027,004,493,998
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.