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Finding the Fourth Proportional to 314,928,708.40, 472,393,062.60 and 177,179,201.20

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Solution

The fourth proportional to 314,928,708.40, 472,393,062.60 and 177,179,201.20 is: 265,768,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,708.40 : 472,393,062.60 = 177,179,201.20 : x
  2. Step 2: Convert to fraction form
    314,928,708.40/472,393,062.60 = 177,179,201.20/x
  3. Step 3: Cross multiply
    314,928,708.40x = 472,393,062.60 × 177,179,201.20
  4. Step 4: Simplify right side
    314,928,708.40x = 83,698,225,483,889,600
  5. Step 5: Solve for x
    x = 83,698,225,483,889,600/314,928,708.40
  6. Step 6: Final answer
    x = 265,768,801.80

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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.