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Finding the Fourth Proportional to 150,200,204.40, 224,964,383.40 and 123,326,348.40

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Solution

The fourth proportional to 150,200,204.40, 224,964,383.40 and 123,326,348.40 is: 184,713,702.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,200,204.40 : 224,964,383.40 = 123,326,348.40 : x
  2. Step 2: Convert to fraction form
    150,200,204.40/224,964,383.40 = 123,326,348.40/x
  3. Step 3: Cross multiply
    150,200,204.40x = 224,964,383.40 × 123,326,348.40
  4. Step 4: Simplify right side
    150,200,204.40x = 27,744,035,924,779,580
  5. Step 5: Solve for x
    x = 27,744,035,924,779,580/150,200,204.40
  6. Step 6: Final answer
    x = 184,713,702.86

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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.