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Finding the Fourth Proportional to 526,340,238,413.32, 726,348,978,130.68 and 294,855,387,138.65

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Solution

The fourth proportional to 526,340,238,413.32, 726,348,978,130.68 and 294,855,387,138.65 is: 406,900,125,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,340,238,413.32 : 726,348,978,130.68 = 294,855,387,138.65 : x
  2. Step 2: Convert to fraction form
    526,340,238,413.32/726,348,978,130.68 = 294,855,387,138.65/x
  3. Step 3: Cross multiply
    526,340,238,413.32x = 726,348,978,130.68 × 294,855,387,138.65
  4. Step 4: Simplify right side
    526,340,238,413.32x = 214,167,909,144,484,498,112,512
  5. Step 5: Solve for x
    x = 214,167,909,144,484,498,112,512/526,340,238,413.32
  6. Step 6: Final answer
    x = 406,900,125,648.96

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Why These Related Problems?

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