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Finding the Fourth Proportional to 410,059,585,610.78, 615,089,378,416.20 and 410,059,585,610.78

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Solution

The fourth proportional to 410,059,585,610.78, 615,089,378,416.20 and 410,059,585,610.78 is: 615,089,378,416.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,059,585,610.78 : 615,089,378,416.20 = 410,059,585,610.78 : x
  2. Step 2: Convert to fraction form
    410,059,585,610.78/615,089,378,416.20 = 410,059,585,610.78/x
  3. Step 3: Cross multiply
    410,059,585,610.78x = 615,089,378,416.20 × 410,059,585,610.78
  4. Step 4: Simplify right side
    410,059,585,610.78x = 252,223,295,626,939,222,458,368
  5. Step 5: Solve for x
    x = 252,223,295,626,939,222,458,368/410,059,585,610.78
  6. Step 6: Final answer
    x = 615,089,378,416.20

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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.