Finding the Fourth Proportional to 4,006,951,146,235.80, 5,529,289,118,742.40 and 2,248,761,119,585
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Solution
The fourth proportional to 4,006,951,146,235.80, 5,529,289,118,742.40 and 2,248,761,119,585 is: 3,103,120,037,001.97
Step by Step Solution
- Step 1: Write the proportion equation
4,006,951,146,235.80 : 5,529,289,118,742.40 = 2,248,761,119,585 : x - Step 2: Convert to fraction form
4,006,951,146,235.80/5,529,289,118,742.40 = 2,248,761,119,585/x - Step 3: Cross multiply
4,006,951,146,235.80x = 5,529,289,118,742.40 × 2,248,761,119,585 - Step 4: Simplify right side
4,006,951,146,235.80x = 12,434,050,389,172,318,208,262,144 - Step 5: Solve for x
x = 12,434,050,389,172,318,208,262,144/4,006,951,146,235.80 - Step 6: Final answer
x = 3,103,120,037,001.97
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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.