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Finding the Fourth Proportional to 340,015,123.40, 476,928,165.40 and 340,015,123.40

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Solution

The fourth proportional to 340,015,123.40, 476,928,165.40 and 340,015,123.40 is: 476,928,165.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,015,123.40 : 476,928,165.40 = 340,015,123.40 : x
  2. Step 2: Convert to fraction form
    340,015,123.40/476,928,165.40 = 340,015,123.40/x
  3. Step 3: Cross multiply
    340,015,123.40x = 476,928,165.40 × 340,015,123.40
  4. Step 4: Simplify right side
    340,015,123.40x = 162,162,789,011,416,576
  5. Step 5: Solve for x
    x = 162,162,789,011,416,576/340,015,123.40
  6. Step 6: Final answer
    x = 476,928,165.40

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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.