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Finding the Fourth Proportional to 526,340,238,412.32, 726,348,978,129.30 and 294,855,387,137.65

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Solution

The fourth proportional to 526,340,238,412.32, 726,348,978,129.30 and 294,855,387,137.65 is: 406,900,125,647.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,340,238,412.32 : 726,348,978,129.30 = 294,855,387,137.65 : x
  2. Step 2: Convert to fraction form
    526,340,238,412.32/726,348,978,129.30 = 294,855,387,137.65/x
  3. Step 3: Cross multiply
    526,340,238,412.32x = 726,348,978,129.30 × 294,855,387,137.65
  4. Step 4: Simplify right side
    526,340,238,412.32x = 214,167,909,143,351,264,280,576
  5. Step 5: Solve for x
    x = 214,167,909,143,351,264,280,576/526,340,238,412.32
  6. Step 6: Final answer
    x = 406,900,125,647.58

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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.