Finding the Fourth Proportional to 524,102,684,837.85, 786,232,633,449.80 and 184,081,932,423.02
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Solution
The fourth proportional to 524,102,684,837.85, 786,232,633,449.80 and 184,081,932,423.02 is: 276,150,507,689.65
Step by Step Solution
- Step 1: Write the proportion equation
524,102,684,837.85 : 786,232,633,449.80 = 184,081,932,423.02 : x - Step 2: Convert to fraction form
524,102,684,837.85/786,232,633,449.80 = 184,081,932,423.02/x - Step 3: Cross multiply
524,102,684,837.85x = 786,232,633,449.80 × 184,081,932,423.02 - Step 4: Simplify right side
524,102,684,837.85x = 144,731,222,499,479,133,356,032 - Step 5: Solve for x
x = 144,731,222,499,479,133,356,032/524,102,684,837.85 - Step 6: Final answer
x = 276,150,507,689.65
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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.