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Finding the Fourth Proportional to 251,975,448,002.60, 377,963,172,003.90 and 251,975,448,002.60

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Solution

The fourth proportional to 251,975,448,002.60, 377,963,172,003.90 and 251,975,448,002.60 is: 377,963,172,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,975,448,002.60 : 377,963,172,003.90 = 251,975,448,002.60 : x
  2. Step 2: Convert to fraction form
    251,975,448,002.60/377,963,172,003.90 = 251,975,448,002.60/x
  3. Step 3: Cross multiply
    251,975,448,002.60x = 377,963,172,003.90 × 251,975,448,002.60
  4. Step 4: Simplify right side
    251,975,448,002.60x = 95,237,439,594,166,474,506,240
  5. Step 5: Solve for x
    x = 95,237,439,594,166,474,506,240/251,975,448,002.60
  6. Step 6: Final answer
    x = 377,963,172,003.90

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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.