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Finding the Fourth Proportional to 6,810,756,097.20, 10,216,134,145.80 and 6,810,756,097.20

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Solution

The fourth proportional to 6,810,756,097.20, 10,216,134,145.80 and 6,810,756,097.20 is: 10,216,134,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810,756,097.20 : 10,216,134,145.80 = 6,810,756,097.20 : x
  2. Step 2: Convert to fraction form
    6,810,756,097.20/10,216,134,145.80 = 6,810,756,097.20/x
  3. Step 3: Cross multiply
    6,810,756,097.20x = 10,216,134,145.80 × 6,810,756,097.20
  4. Step 4: Simplify right side
    6,810,756,097.20x = 69,579,597,923,320,455,168
  5. Step 5: Solve for x
    x = 69,579,597,923,320,455,168/6,810,756,097.20
  6. Step 6: Final answer
    x = 10,216,134,145.80

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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.