Finding the Fourth Proportional to 229,516,242,067.76, 316,833,989,744.28 and 148,265,690,589.92
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Solution
The fourth proportional to 229,516,242,067.76, 316,833,989,744.28 and 148,265,690,589.92 is: 204,672,270,112.92
Step by Step Solution
- Step 1: Write the proportion equation
229,516,242,067.76 : 316,833,989,744.28 = 148,265,690,589.92 : x - Step 2: Convert to fraction form
229,516,242,067.76/316,833,989,744.28 = 148,265,690,589.92/x - Step 3: Cross multiply
229,516,242,067.76x = 316,833,989,744.28 × 148,265,690,589.92 - Step 4: Simplify right side
229,516,242,067.76x = 46,975,610,291,795,311,722,496 - Step 5: Solve for x
x = 46,975,610,291,795,311,722,496/229,516,242,067.76 - Step 6: Final answer
x = 204,672,270,112.92
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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.