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Finding the Fourth Proportional to 299,185,201.60, 448,777,802.40 and 266,936,574.40

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Solution

The fourth proportional to 299,185,201.60, 448,777,802.40 and 266,936,574.40 is: 400,404,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,185,201.60 : 448,777,802.40 = 266,936,574.40 : x
  2. Step 2: Convert to fraction form
    299,185,201.60/448,777,802.40 = 266,936,574.40/x
  3. Step 3: Cross multiply
    299,185,201.60x = 448,777,802.40 × 266,936,574.40
  4. Step 4: Simplify right side
    299,185,201.60x = 119,795,209,239,416,096
  5. Step 5: Solve for x
    x = 119,795,209,239,416,096/299,185,201.60
  6. Step 6: Final answer
    x = 400,404,861.60

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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.