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Finding the Fourth Proportional to 701,458,732.86, 967,973,665.87 and 383,918,332.10

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Solution

The fourth proportional to 701,458,732.86, 967,973,665.87 and 383,918,332.10 is: 529,785,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,458,732.86 : 967,973,665.87 = 383,918,332.10 : x
  2. Step 2: Convert to fraction form
    701,458,732.86/967,973,665.87 = 383,918,332.10/x
  3. Step 3: Cross multiply
    701,458,732.86x = 967,973,665.87 × 383,918,332.10
  4. Step 4: Simplify right side
    701,458,732.86x = 371,622,835,313,184,640
  5. Step 5: Solve for x
    x = 371,622,835,313,184,640/701,458,732.86
  6. Step 6: Final answer
    x = 529,785,742.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.