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Finding the Fourth Proportional to 360,806,490.30, 541,209,735.45 and 360,806,490.30

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Solution

The fourth proportional to 360,806,490.30, 541,209,735.45 and 360,806,490.30 is: 541,209,735.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,806,490.30 : 541,209,735.45 = 360,806,490.30 : x
  2. Step 2: Convert to fraction form
    360,806,490.30/541,209,735.45 = 360,806,490.30/x
  3. Step 3: Cross multiply
    360,806,490.30x = 541,209,735.45 × 360,806,490.30
  4. Step 4: Simplify right side
    360,806,490.30x = 195,271,985,163,906,016
  5. Step 5: Solve for x
    x = 195,271,985,163,906,016/360,806,490.30
  6. Step 6: Final answer
    x = 541,209,735.45

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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.