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Finding the Fourth Proportional to 289,751,200.80, 434,626,801.20 and 74,340,448.80

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Solution

The fourth proportional to 289,751,200.80, 434,626,801.20 and 74,340,448.80 is: 111,510,673.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,751,200.80 : 434,626,801.20 = 74,340,448.80 : x
  2. Step 2: Convert to fraction form
    289,751,200.80/434,626,801.20 = 74,340,448.80/x
  3. Step 3: Cross multiply
    289,751,200.80x = 434,626,801.20 × 74,340,448.80
  4. Step 4: Simplify right side
    289,751,200.80x = 32,310,351,461,716,376
  5. Step 5: Solve for x
    x = 32,310,351,461,716,376/289,751,200.80
  6. Step 6: Final answer
    x = 111,510,673.20

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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.