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Finding the Fourth Proportional to 306,983,536.20, 460,475,304.30 and 306,983,536.20

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Solution

The fourth proportional to 306,983,536.20, 460,475,304.30 and 306,983,536.20 is: 460,475,304.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,983,536.20 : 460,475,304.30 = 306,983,536.20 : x
  2. Step 2: Convert to fraction form
    306,983,536.20/460,475,304.30 = 306,983,536.20/x
  3. Step 3: Cross multiply
    306,983,536.20x = 460,475,304.30 × 306,983,536.20
  4. Step 4: Simplify right side
    306,983,536.20x = 141,358,337,246,785,056
  5. Step 5: Solve for x
    x = 141,358,337,246,785,056/306,983,536.20
  6. Step 6: Final answer
    x = 460,475,304.30

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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.