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Finding the Fourth Proportional to 505,513,289.80, 758,269,934.70 and 505,513,289.80

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Solution

The fourth proportional to 505,513,289.80, 758,269,934.70 and 505,513,289.80 is: 758,269,934.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,513,289.80 : 758,269,934.70 = 505,513,289.80 : x
  2. Step 2: Convert to fraction form
    505,513,289.80/758,269,934.70 = 505,513,289.80/x
  3. Step 3: Cross multiply
    505,513,289.80x = 758,269,934.70 × 505,513,289.80
  4. Step 4: Simplify right side
    505,513,289.80x = 383,315,529,246,628,224
  5. Step 5: Solve for x
    x = 383,315,529,246,628,224/505,513,289.80
  6. Step 6: Final answer
    x = 758,269,934.70

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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.