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Finding the Fourth Proportional to 314,928,005.80, 472,392,008.70 and 217,856,698.60

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Solution

The fourth proportional to 314,928,005.80, 472,392,008.70 and 217,856,698.60 is: 326,785,047.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,005.80 : 472,392,008.70 = 217,856,698.60 : x
  2. Step 2: Convert to fraction form
    314,928,005.80/472,392,008.70 = 217,856,698.60/x
  3. Step 3: Cross multiply
    314,928,005.80x = 472,392,008.70 × 217,856,698.60
  4. Step 4: Simplify right side
    314,928,005.80x = 102,913,763,460,404,480
  5. Step 5: Solve for x
    x = 102,913,763,460,404,480/314,928,005.80
  6. Step 6: Final answer
    x = 326,785,047.90

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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.