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Finding the Fourth Proportional to 266,923,150.40, 400,384,725.60 and 209,592,257.60

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Solution

The fourth proportional to 266,923,150.40, 400,384,725.60 and 209,592,257.60 is: 314,388,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,923,150.40 : 400,384,725.60 = 209,592,257.60 : x
  2. Step 2: Convert to fraction form
    266,923,150.40/400,384,725.60 = 209,592,257.60/x
  3. Step 3: Cross multiply
    266,923,150.40x = 400,384,725.60 × 209,592,257.60
  4. Step 4: Simplify right side
    266,923,150.40x = 83,917,538,547,060,512
  5. Step 5: Solve for x
    x = 83,917,538,547,060,512/266,923,150.40
  6. Step 6: Final answer
    x = 314,388,386.40

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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.