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Finding the Fourth Proportional to 615,384,698.70, 923,077,048.05 and 184,563,194.70

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Solution

The fourth proportional to 615,384,698.70, 923,077,048.05 and 184,563,194.70 is: 276,844,792.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    615,384,698.70 : 923,077,048.05 = 184,563,194.70 : x
  2. Step 2: Convert to fraction form
    615,384,698.70/923,077,048.05 = 184,563,194.70/x
  3. Step 3: Cross multiply
    615,384,698.70x = 923,077,048.05 × 184,563,194.70
  4. Step 4: Simplify right side
    615,384,698.70x = 170,366,048,942,353,376
  5. Step 5: Solve for x
    x = 170,366,048,942,353,376/615,384,698.70
  6. Step 6: Final answer
    x = 276,844,792.05

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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.