Finding the Fourth Proportional to 99,892,278,137.94, 149,778,579,368.52 and 31,793,925,492.12
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Solution
The fourth proportional to 99,892,278,137.94, 149,778,579,368.52 and 31,793,925,492.12 is: 47,671,842,924.46
Step by Step Solution
- Step 1: Write the proportion equation
99,892,278,137.94 : 149,778,579,368.52 = 31,793,925,492.12 : x - Step 2: Convert to fraction form
99,892,278,137.94/149,778,579,368.52 = 31,793,925,492.12/x - Step 3: Cross multiply
99,892,278,137.94x = 149,778,579,368.52 × 31,793,925,492.12 - Step 4: Simplify right side
99,892,278,137.94x = 4,762,048,992,758,306,177,024 - Step 5: Solve for x
x = 4,762,048,992,758,306,177,024/99,892,278,137.94 - Step 6: Final answer
x = 47,671,842,924.46
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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.