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Finding the Fourth Proportional to 489,950,214.20, 734,075,015.70 and 413,422,710.20

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Solution

The fourth proportional to 489,950,214.20, 734,075,015.70 and 413,422,710.20 is: 619,416,572.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,950,214.20 : 734,075,015.70 = 413,422,710.20 : x
  2. Step 2: Convert to fraction form
    489,950,214.20/734,075,015.70 = 413,422,710.20/x
  3. Step 3: Cross multiply
    489,950,214.20x = 734,075,015.70 × 413,422,710.20
  4. Step 4: Simplify right side
    489,950,214.20x = 303,483,282,480,801,536
  5. Step 5: Solve for x
    x = 303,483,282,480,801,536/489,950,214.20
  6. Step 6: Final answer
    x = 619,416,572.72

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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.