Finding the Fourth Proportional to 1,467,099,148,881.30, 2,201,653,948,740.60 and 512,037,744,894.54
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Solution
The fourth proportional to 1,467,099,148,881.30, 2,201,653,948,740.60 and 512,037,744,894.54 is: 768,407,454,813.75
Step by Step Solution
- Step 1: Write the proportion equation
1,467,099,148,881.30 : 2,201,653,948,740.60 = 512,037,744,894.54 : x - Step 2: Convert to fraction form
1,467,099,148,881.30/2,201,653,948,740.60 = 512,037,744,894.54/x - Step 3: Cross multiply
1,467,099,148,881.30x = 2,201,653,948,740.60 × 512,037,744,894.54 - Step 4: Simplify right side
1,467,099,148,881.30x = 1,127,329,922,951,295,983,943,680 - Step 5: Solve for x
x = 1,127,329,922,951,295,983,943,680/1,467,099,148,881.30 - Step 6: Final answer
x = 768,407,454,813.75
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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.