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Finding the Fourth Proportional to 476,928,698.20, 715,393,047.30 and 476,928,698.20

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Solution

The fourth proportional to 476,928,698.20, 715,393,047.30 and 476,928,698.20 is: 715,393,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,928,698.20 : 715,393,047.30 = 476,928,698.20 : x
  2. Step 2: Convert to fraction form
    476,928,698.20/715,393,047.30 = 476,928,698.20/x
  3. Step 3: Cross multiply
    476,928,698.20x = 715,393,047.30 × 476,928,698.20
  4. Step 4: Simplify right side
    476,928,698.20x = 341,191,474,750,120,000
  5. Step 5: Solve for x
    x = 341,191,474,750,120,000/476,928,698.20
  6. Step 6: Final answer
    x = 715,393,047.30

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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.