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Finding the Fourth Proportional to 273,102,109.80, 409,653,164.70 and 164,050,416.60

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Solution

The fourth proportional to 273,102,109.80, 409,653,164.70 and 164,050,416.60 is: 246,075,624.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,102,109.80 : 409,653,164.70 = 164,050,416.60 : x
  2. Step 2: Convert to fraction form
    273,102,109.80/409,653,164.70 = 164,050,416.60/x
  3. Step 3: Cross multiply
    273,102,109.80x = 409,653,164.70 × 164,050,416.60
  4. Step 4: Simplify right side
    273,102,109.80x = 67,203,772,330,543,408
  5. Step 5: Solve for x
    x = 67,203,772,330,543,408/273,102,109.80
  6. Step 6: Final answer
    x = 246,075,624.90

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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.