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Finding the Fourth Proportional to 471,616,164.80, 706,752,400.80 and 347,828,465.60

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Solution

The fourth proportional to 471,616,164.80, 706,752,400.80 and 347,828,465.60 is: 521,247,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,616,164.80 : 706,752,400.80 = 347,828,465.60 : x
  2. Step 2: Convert to fraction form
    471,616,164.80/706,752,400.80 = 347,828,465.60/x
  3. Step 3: Cross multiply
    471,616,164.80x = 706,752,400.80 × 347,828,465.60
  4. Step 4: Simplify right side
    471,616,164.80x = 245,828,603,129,380,224
  5. Step 5: Solve for x
    x = 245,828,603,129,380,224/471,616,164.80
  6. Step 6: Final answer
    x = 521,247,195.23

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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.