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Finding the Fourth Proportional to 290,016,010.40, 435,024,015.60 and 167,404,042.40

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Solution

The fourth proportional to 290,016,010.40, 435,024,015.60 and 167,404,042.40 is: 251,106,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,016,010.40 : 435,024,015.60 = 167,404,042.40 : x
  2. Step 2: Convert to fraction form
    290,016,010.40/435,024,015.60 = 167,404,042.40/x
  3. Step 3: Cross multiply
    290,016,010.40x = 435,024,015.60 × 167,404,042.40
  4. Step 4: Simplify right side
    290,016,010.40x = 72,824,778,752,520,672
  5. Step 5: Solve for x
    x = 72,824,778,752,520,672/290,016,010.40
  6. Step 6: Final answer
    x = 251,106,063.60

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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.