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Finding the Fourth Proportional to 314,928,397.80, 472,392,596.70 and 200,042,663.40

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Solution

The fourth proportional to 314,928,397.80, 472,392,596.70 and 200,042,663.40 is: 300,063,995.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,928,397.80 : 472,392,596.70 = 200,042,663.40 : x
  2. Step 2: Convert to fraction form
    314,928,397.80/472,392,596.70 = 200,042,663.40/x
  3. Step 3: Cross multiply
    314,928,397.80x = 472,392,596.70 × 200,042,663.40
  4. Step 4: Simplify right side
    314,928,397.80x = 94,498,673,214,310,048
  5. Step 5: Solve for x
    x = 94,498,673,214,310,048/314,928,397.80
  6. Step 6: Final answer
    x = 300,063,995.10

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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.