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Finding the Fourth Proportional to 150,174,064.80, 225,261,097.20 and 150,174,064.80

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Solution

The fourth proportional to 150,174,064.80, 225,261,097.20 and 150,174,064.80 is: 225,261,097.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,174,064.80 : 225,261,097.20 = 150,174,064.80 : x
  2. Step 2: Convert to fraction form
    150,174,064.80/225,261,097.20 = 150,174,064.80/x
  3. Step 3: Cross multiply
    150,174,064.80x = 225,261,097.20 × 150,174,064.80
  4. Step 4: Simplify right side
    150,174,064.80x = 33,828,374,607,831,900
  5. Step 5: Solve for x
    x = 33,828,374,607,831,900/150,174,064.80
  6. Step 6: Final answer
    x = 225,261,097.20

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1.5x scale

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.