Finding the Fourth Proportional to 149,183,691,365.12, 223,693,815,538.08 and 73,470,347,337.68
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Solution
The fourth proportional to 149,183,691,365.12, 223,693,815,538.08 and 73,470,347,337.68 is: 110,165,274,598.62
Step by Step Solution
- Step 1: Write the proportion equation
149,183,691,365.12 : 223,693,815,538.08 = 73,470,347,337.68 : x - Step 2: Convert to fraction form
149,183,691,365.12/223,693,815,538.08 = 73,470,347,337.68/x - Step 3: Cross multiply
149,183,691,365.12x = 223,693,815,538.08 × 73,470,347,337.68 - Step 4: Simplify right side
149,183,691,365.12x = 16,434,862,324,873,653,387,264 - Step 5: Solve for x
x = 16,434,862,324,873,653,387,264/149,183,691,365.12 - Step 6: Final answer
x = 110,165,274,598.62
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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.