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Finding the Fourth Proportional to 493,177,260,603.20, 739,765,890,904.80 and 493,177,260,603.20

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Solution

The fourth proportional to 493,177,260,603.20, 739,765,890,904.80 and 493,177,260,603.20 is: 739,765,890,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,177,260,603.20 : 739,765,890,904.80 = 493,177,260,603.20 : x
  2. Step 2: Convert to fraction form
    493,177,260,603.20/739,765,890,904.80 = 493,177,260,603.20/x
  3. Step 3: Cross multiply
    493,177,260,603.20x = 739,765,890,904.80 × 493,177,260,603.20
  4. Step 4: Simplify right side
    493,177,260,603.20x = 364,835,715,564,115,012,354,048
  5. Step 5: Solve for x
    x = 364,835,715,564,115,012,354,048/493,177,260,603.20
  6. Step 6: Final answer
    x = 739,765,890,904.80

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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.