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Finding the Fourth Proportional to 213,591,320.80, 299,708,093.60 and 213,591,320.80

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Solution

The fourth proportional to 213,591,320.80, 299,708,093.60 and 213,591,320.80 is: 299,708,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,591,320.80 : 299,708,093.60 = 213,591,320.80 : x
  2. Step 2: Convert to fraction form
    213,591,320.80/299,708,093.60 = 213,591,320.80/x
  3. Step 3: Cross multiply
    213,591,320.80x = 299,708,093.60 × 213,591,320.80
  4. Step 4: Simplify right side
    213,591,320.80x = 64,015,047,566,474,032
  5. Step 5: Solve for x
    x = 64,015,047,566,474,032/213,591,320.80
  6. Step 6: Final answer
    x = 299,708,093.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.