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Finding the Fourth Proportional to 6,810,756,098.20, 10,216,134,147.30 and 6,810,756,098.20

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Solution

The fourth proportional to 6,810,756,098.20, 10,216,134,147.30 and 6,810,756,098.20 is: 10,216,134,147.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,810,756,098.20 : 10,216,134,147.30 = 6,810,756,098.20 : x
  2. Step 2: Convert to fraction form
    6,810,756,098.20/10,216,134,147.30 = 6,810,756,098.20/x
  3. Step 3: Cross multiply
    6,810,756,098.20x = 10,216,134,147.30 × 6,810,756,098.20
  4. Step 4: Simplify right side
    6,810,756,098.20x = 69,579,597,943,752,728,576
  5. Step 5: Solve for x
    x = 69,579,597,943,752,728,576/6,810,756,098.20
  6. Step 6: Final answer
    x = 10,216,134,147.30

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Double scale
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1.5x scale

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.