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Finding the Fourth Proportional to 615,384,704.70, 923,077,057.05 and 184,563,200.70

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Solution

The fourth proportional to 615,384,704.70, 923,077,057.05 and 184,563,200.70 is: 276,844,801.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,384,704.70 : 923,077,057.05 = 184,563,200.70 : x
  2. Step 2: Convert to fraction form
    615,384,704.70/923,077,057.05 = 184,563,200.70/x
  3. Step 3: Cross multiply
    615,384,704.70x = 923,077,057.05 × 184,563,200.70
  4. Step 4: Simplify right side
    615,384,704.70x = 170,366,056,141,884,480
  5. Step 5: Solve for x
    x = 170,366,056,141,884,480/615,384,704.70
  6. Step 6: Final answer
    x = 276,844,801.05

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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.