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Finding the Fourth Proportional to 289,503,010.40, 434,254,515.60 and 153,454,114.40

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Solution

The fourth proportional to 289,503,010.40, 434,254,515.60 and 153,454,114.40 is: 230,181,171.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,503,010.40 : 434,254,515.60 = 153,454,114.40 : x
  2. Step 2: Convert to fraction form
    289,503,010.40/434,254,515.60 = 153,454,114.40/x
  3. Step 3: Cross multiply
    289,503,010.40x = 434,254,515.60 × 153,454,114.40
  4. Step 4: Simplify right side
    289,503,010.40x = 66,638,142,115,598,992
  5. Step 5: Solve for x
    x = 66,638,142,115,598,992/289,503,010.40
  6. Step 6: Final answer
    x = 230,181,171.60

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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.