Finding the Fourth Proportional to 609,170,774,288.30, 840,663,286,193.60 and 334,846,377,358.53
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Solution
The fourth proportional to 609,170,774,288.30, 840,663,286,193.60 and 334,846,377,358.53 is: 462,092,188,006.09
Step by Step Solution
- Step 1: Write the proportion equation
609,170,774,288.30 : 840,663,286,193.60 = 334,846,377,358.53 : x - Step 2: Convert to fraction form
609,170,774,288.30/840,663,286,193.60 = 334,846,377,358.53/x - Step 3: Cross multiply
609,170,774,288.30x = 840,663,286,193.60 × 334,846,377,358.53 - Step 4: Simplify right side
609,170,774,288.30x = 281,493,055,960,244,094,500,864 - Step 5: Solve for x
x = 281,493,055,960,244,094,500,864/609,170,774,288.30 - Step 6: Final answer
x = 462,092,188,006.09
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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.