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Finding the Fourth Proportional to 212,816,477.60, 319,224,716.40 and 212,816,477.60

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Solution

The fourth proportional to 212,816,477.60, 319,224,716.40 and 212,816,477.60 is: 319,224,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,816,477.60 : 319,224,716.40 = 212,816,477.60 : x
  2. Step 2: Convert to fraction form
    212,816,477.60/319,224,716.40 = 212,816,477.60/x
  3. Step 3: Cross multiply
    212,816,477.60x = 319,224,716.40 × 212,816,477.60
  4. Step 4: Simplify right side
    212,816,477.60x = 67,936,279,707,106,944
  5. Step 5: Solve for x
    x = 67,936,279,707,106,944/212,816,477.60
  6. Step 6: Final answer
    x = 319,224,716.40

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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.