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Finding the Fourth Proportional to 294,984,101.60, 412,212,467.20 and 294,984,101.60

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Solution

The fourth proportional to 294,984,101.60, 412,212,467.20 and 294,984,101.60 is: 412,212,467.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,984,101.60 : 412,212,467.20 = 294,984,101.60 : x
  2. Step 2: Convert to fraction form
    294,984,101.60/412,212,467.20 = 294,984,101.60/x
  3. Step 3: Cross multiply
    294,984,101.60x = 412,212,467.20 × 294,984,101.60
  4. Step 4: Simplify right side
    294,984,101.60x = 121,596,124,305,311,472
  5. Step 5: Solve for x
    x = 121,596,124,305,311,472/294,984,101.60
  6. Step 6: Final answer
    x = 412,212,467.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.