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Finding the Fourth Proportional to 501,614,530,200.45, 752,421,795,300.68 and 501,614,530,200.45

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Solution

The fourth proportional to 501,614,530,200.45, 752,421,795,300.68 and 501,614,530,200.45 is: 752,421,795,300.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,614,530,200.45 : 752,421,795,300.68 = 501,614,530,200.45 : x
  2. Step 2: Convert to fraction form
    501,614,530,200.45/752,421,795,300.68 = 501,614,530,200.45/x
  3. Step 3: Cross multiply
    501,614,530,200.45x = 752,421,795,300.68 × 501,614,530,200.45
  4. Step 4: Simplify right side
    501,614,530,200.45x = 377,425,705,362,329,794,772,992
  5. Step 5: Solve for x
    x = 377,425,705,362,329,794,772,992/501,614,530,200.45
  6. Step 6: Final answer
    x = 752,421,795,300.68

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