Finding the Fourth Proportional to 324,588,752,465.12, 447,746,376,250.24 and 202,441,424,103.68
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Solution
The fourth proportional to 324,588,752,465.12, 447,746,376,250.24 and 202,441,424,103.68 is: 279,253,095,977.51
Step by Step Solution
- Step 1: Write the proportion equation
324,588,752,465.12 : 447,746,376,250.24 = 202,441,424,103.68 : x - Step 2: Convert to fraction form
324,588,752,465.12/447,746,376,250.24 = 202,441,424,103.68/x - Step 3: Cross multiply
324,588,752,465.12x = 447,746,376,250.24 × 202,441,424,103.68 - Step 4: Simplify right side
324,588,752,465.12x = 90,642,414,045,360,709,173,248 - Step 5: Solve for x
x = 90,642,414,045,360,709,173,248/324,588,752,465.12 - Step 6: Final answer
x = 279,253,095,977.51
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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.