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Finding the Fourth Proportional to 646,801,336.80, 970,202,005.20 and 180,461,859.30

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Solution

The fourth proportional to 646,801,336.80, 970,202,005.20 and 180,461,859.30 is: 270,692,788.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,801,336.80 : 970,202,005.20 = 180,461,859.30 : x
  2. Step 2: Convert to fraction form
    646,801,336.80/970,202,005.20 = 180,461,859.30/x
  3. Step 3: Cross multiply
    646,801,336.80x = 970,202,005.20 × 180,461,859.30
  4. Step 4: Simplify right side
    646,801,336.80x = 175,084,457,754,980,288
  5. Step 5: Solve for x
    x = 175,084,457,754,980,288/646,801,336.80
  6. Step 6: Final answer
    x = 270,692,788.95

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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.