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Finding the Fourth Proportional to 200,416,114.40, 300,624,171.60 and 123,888,610.40

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Solution

The fourth proportional to 200,416,114.40, 300,624,171.60 and 123,888,610.40 is: 185,832,915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,416,114.40 : 300,624,171.60 = 123,888,610.40 : x
  2. Step 2: Convert to fraction form
    200,416,114.40/300,624,171.60 = 123,888,610.40/x
  3. Step 3: Cross multiply
    200,416,114.40x = 300,624,171.60 × 123,888,610.40
  4. Step 4: Simplify right side
    200,416,114.40x = 37,243,910,872,175,152
  5. Step 5: Solve for x
    x = 37,243,910,872,175,152/200,416,114.40
  6. Step 6: Final answer
    x = 185,832,915.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.