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Finding the Fourth Proportional to 378,502,995.44, 522,322,413.72 and 213,488,188.40

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Solution

The fourth proportional to 378,502,995.44, 522,322,413.72 and 213,488,188.40 is: 294,607,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,502,995.44 : 522,322,413.72 = 213,488,188.40 : x
  2. Step 2: Convert to fraction form
    378,502,995.44/522,322,413.72 = 213,488,188.40/x
  3. Step 3: Cross multiply
    378,502,995.44x = 522,322,413.72 × 213,488,188.40
  4. Step 4: Simplify right side
    378,502,995.44x = 111,509,665,865,798,112
  5. Step 5: Solve for x
    x = 111,509,665,865,798,112/378,502,995.44
  6. Step 6: Final answer
    x = 294,607,089.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.