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Finding the Fourth Proportional to 410,059,585,720.90, 615,089,378,581.35 and 410,059,585,720.90

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Solution

The fourth proportional to 410,059,585,720.90, 615,089,378,581.35 and 410,059,585,720.90 is: 615,089,378,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,059,585,720.90 : 615,089,378,581.35 = 410,059,585,720.90 : x
  2. Step 2: Convert to fraction form
    410,059,585,720.90/615,089,378,581.35 = 410,059,585,720.90/x
  3. Step 3: Cross multiply
    410,059,585,720.90x = 615,089,378,581.35 × 410,059,585,720.90
  4. Step 4: Simplify right side
    410,059,585,720.90x = 252,223,295,762,394,203,029,504
  5. Step 5: Solve for x
    x = 252,223,295,762,394,203,029,504/410,059,585,720.90
  6. Step 6: Final answer
    x = 615,089,378,581.35

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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.