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Finding the Fourth Proportional to 235,920,643.20, 353,880,964.80 and 132,608,512.80

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Solution

The fourth proportional to 235,920,643.20, 353,880,964.80 and 132,608,512.80 is: 198,912,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,920,643.20 : 353,880,964.80 = 132,608,512.80 : x
  2. Step 2: Convert to fraction form
    235,920,643.20/353,880,964.80 = 132,608,512.80/x
  3. Step 3: Cross multiply
    235,920,643.20x = 353,880,964.80 × 132,608,512.80
  4. Step 4: Simplify right side
    235,920,643.20x = 46,927,628,450,357,152
  5. Step 5: Solve for x
    x = 46,927,628,450,357,152/235,920,643.20
  6. Step 6: Final answer
    x = 198,912,769.20

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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.