Finding the Fourth Proportional to 2,559,125,648.91, 3,840,470,456.58 and 901,166,478.09
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Solution
The fourth proportional to 2,559,125,648.91, 3,840,470,456.58 and 901,166,478.09 is: 1,352,377,221.90
Step by Step Solution
- Step 1: Write the proportion equation
2,559,125,648.91 : 3,840,470,456.58 = 901,166,478.09 : x - Step 2: Convert to fraction form
2,559,125,648.91/3,840,470,456.58 = 901,166,478.09/x - Step 3: Cross multiply
2,559,125,648.91x = 3,840,470,456.58 × 901,166,478.09 - Step 4: Simplify right side
2,559,125,648.91x = 3,460,903,235,564,892,672 - Step 5: Solve for x
x = 3,460,903,235,564,892,672/2,559,125,648.91 - Step 6: Final answer
x = 1,352,377,221.90
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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.