Finding the Fourth Proportional to 99,892,278,135.44, 149,778,579,364.79 and 31,793,925,489.60
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Solution
The fourth proportional to 99,892,278,135.44, 149,778,579,364.79 and 31,793,925,489.60 is: 47,671,842,920.70
Step by Step Solution
- Step 1: Write the proportion equation
99,892,278,135.44 : 149,778,579,364.79 = 31,793,925,489.60 : x - Step 2: Convert to fraction form
99,892,278,135.44/149,778,579,364.79 = 31,793,925,489.60/x - Step 3: Cross multiply
99,892,278,135.44x = 149,778,579,364.79 × 31,793,925,489.60 - Step 4: Simplify right side
99,892,278,135.44x = 4,762,048,992,262,872,891,392 - Step 5: Solve for x
x = 4,762,048,992,262,872,891,392/99,892,278,135.44 - Step 6: Final answer
x = 47,671,842,920.70
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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.