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Finding the Fourth Proportional to 252,753,323.40, 378,563,114.70 and 252,753,323.40

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Solution

The fourth proportional to 252,753,323.40, 378,563,114.70 and 252,753,323.40 is: 378,563,114.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,753,323.40 : 378,563,114.70 = 252,753,323.40 : x
  2. Step 2: Convert to fraction form
    252,753,323.40/378,563,114.70 = 252,753,323.40/x
  3. Step 3: Cross multiply
    252,753,323.40x = 378,563,114.70 × 252,753,323.40
  4. Step 4: Simplify right side
    252,753,323.40x = 95,683,085,357,080,400
  5. Step 5: Solve for x
    x = 95,683,085,357,080,400/252,753,323.40
  6. Step 6: Final answer
    x = 378,563,114.70

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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.