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Finding the Fourth Proportional to 340,015,300.90, 476,928,413.90 and 340,015,300.90

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Solution

The fourth proportional to 340,015,300.90, 476,928,413.90 and 340,015,300.90 is: 476,928,413.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,015,300.90 : 476,928,413.90 = 340,015,300.90 : x
  2. Step 2: Convert to fraction form
    340,015,300.90/476,928,413.90 = 340,015,300.90/x
  3. Step 3: Cross multiply
    340,015,300.90x = 476,928,413.90 × 340,015,300.90
  4. Step 4: Simplify right side
    340,015,300.90x = 162,162,958,159,968,224
  5. Step 5: Solve for x
    x = 162,162,958,159,968,224/340,015,300.90
  6. Step 6: Final answer
    x = 476,928,413.90

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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.