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Finding the Fourth Proportional to 446,706,097.20, 668,736,448.20 and 332,198,276.40

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Solution

The fourth proportional to 446,706,097.20, 668,736,448.20 and 332,198,276.40 is: 497,313,774.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,706,097.20 : 668,736,448.20 = 332,198,276.40 : x
  2. Step 2: Convert to fraction form
    446,706,097.20/668,736,448.20 = 332,198,276.40/x
  3. Step 3: Cross multiply
    446,706,097.20x = 668,736,448.20 × 332,198,276.40
  4. Step 4: Simplify right side
    446,706,097.20x = 222,153,095,457,897,888
  5. Step 5: Solve for x
    x = 222,153,095,457,897,888/446,706,097.20
  6. Step 6: Final answer
    x = 497,313,774.87

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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.