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Finding the Fourth Proportional to 314,929,564.60, 472,394,346.90 and 314,929,564.60

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Solution

The fourth proportional to 314,929,564.60, 472,394,346.90 and 314,929,564.60 is: 472,394,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,929,564.60 : 472,394,346.90 = 314,929,564.60 : x
  2. Step 2: Convert to fraction form
    314,929,564.60/472,394,346.90 = 314,929,564.60/x
  3. Step 3: Cross multiply
    314,929,564.60x = 472,394,346.90 × 314,929,564.60
  4. Step 4: Simplify right side
    314,929,564.60x = 148,770,945,988,718,368
  5. Step 5: Solve for x
    x = 148,770,945,988,718,368/314,929,564.60
  6. Step 6: Final answer
    x = 472,394,346.90

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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.