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Finding the Fourth Proportional to 340,015,214.90, 476,928,293.50 and 340,015,214.90

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Solution

The fourth proportional to 340,015,214.90, 476,928,293.50 and 340,015,214.90 is: 476,928,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,015,214.90 : 476,928,293.50 = 340,015,214.90 : x
  2. Step 2: Convert to fraction form
    340,015,214.90/476,928,293.50 = 340,015,214.90/x
  3. Step 3: Cross multiply
    340,015,214.90x = 476,928,293.50 × 340,015,214.90
  4. Step 4: Simplify right side
    340,015,214.90x = 162,162,876,206,292,768
  5. Step 5: Solve for x
    x = 162,162,876,206,292,768/340,015,214.90
  6. Step 6: Final answer
    x = 476,928,293.50

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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.