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Finding the Fourth Proportional to 524,456,586.40, 786,684,879.60 and 160,903,703.20

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Solution

The fourth proportional to 524,456,586.40, 786,684,879.60 and 160,903,703.20 is: 241,355,554.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,456,586.40 : 786,684,879.60 = 160,903,703.20 : x
  2. Step 2: Convert to fraction form
    524,456,586.40/786,684,879.60 = 160,903,703.20/x
  3. Step 3: Cross multiply
    524,456,586.40x = 786,684,879.60 × 160,903,703.20
  4. Step 4: Simplify right side
    524,456,586.40x = 126,580,510,379,086,128
  5. Step 5: Solve for x
    x = 126,580,510,379,086,128/524,456,586.40
  6. Step 6: Final answer
    x = 241,355,554.80

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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.