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Finding the Fourth Proportional to 471,526,272,003.20, 707,289,408,004.80 and 471,526,272,003.20

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Solution

The fourth proportional to 471,526,272,003.20, 707,289,408,004.80 and 471,526,272,003.20 is: 707,289,408,004.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,526,272,003.20 : 707,289,408,004.80 = 471,526,272,003.20 : x
  2. Step 2: Convert to fraction form
    471,526,272,003.20/707,289,408,004.80 = 471,526,272,003.20/x
  3. Step 3: Cross multiply
    471,526,272,003.20x = 707,289,408,004.80 × 471,526,272,003.20
  4. Step 4: Simplify right side
    471,526,272,003.20x = 333,505,537,783,853,630,881,792
  5. Step 5: Solve for x
    x = 333,505,537,783,853,630,881,792/471,526,272,003.20
  6. Step 6: Final answer
    x = 707,289,408,004.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.