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Finding the Fourth Proportional to 68,908,032,198.40, 103,362,048,297.60 and 68,908,032,198.40

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Solution

The fourth proportional to 68,908,032,198.40, 103,362,048,297.60 and 68,908,032,198.40 is: 103,362,048,297.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,908,032,198.40 : 103,362,048,297.60 = 68,908,032,198.40 : x
  2. Step 2: Convert to fraction form
    68,908,032,198.40/103,362,048,297.60 = 68,908,032,198.40/x
  3. Step 3: Cross multiply
    68,908,032,198.40x = 103,362,048,297.60 × 68,908,032,198.40
  4. Step 4: Simplify right side
    68,908,032,198.40x = 7,122,475,352,183,596,384,256
  5. Step 5: Solve for x
    x = 7,122,475,352,183,596,384,256/68,908,032,198.40
  6. Step 6: Final answer
    x = 103,362,048,297.60

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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.