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Finding the Fourth Proportional to 493,177,260,604.70, 739,765,890,907.05 and 493,177,260,604.70

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Solution

The fourth proportional to 493,177,260,604.70, 739,765,890,907.05 and 493,177,260,604.70 is: 739,765,890,907.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,177,260,604.70 : 739,765,890,907.05 = 493,177,260,604.70 : x
  2. Step 2: Convert to fraction form
    493,177,260,604.70/739,765,890,907.05 = 493,177,260,604.70/x
  3. Step 3: Cross multiply
    493,177,260,604.70x = 739,765,890,907.05 × 493,177,260,604.70
  4. Step 4: Simplify right side
    493,177,260,604.70x = 364,835,715,566,334,302,486,528
  5. Step 5: Solve for x
    x = 364,835,715,566,334,302,486,528/493,177,260,604.70
  6. Step 6: Final answer
    x = 739,765,890,907.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.