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Finding the Fourth Proportional to 314,936,576.40, 472,404,864.60 and 310,689,843.60

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Solution

The fourth proportional to 314,936,576.40, 472,404,864.60 and 310,689,843.60 is: 466,034,765.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,936,576.40 : 472,404,864.60 = 310,689,843.60 : x
  2. Step 2: Convert to fraction form
    314,936,576.40/472,404,864.60 = 310,689,843.60/x
  3. Step 3: Cross multiply
    314,936,576.40x = 472,404,864.60 × 310,689,843.60
  4. Step 4: Simplify right side
    314,936,576.40x = 146,771,393,498,453,184
  5. Step 5: Solve for x
    x = 146,771,393,498,453,184/314,936,576.40
  6. Step 6: Final answer
    x = 466,034,765.40

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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.