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Finding the Fourth Proportional to 410,059,585,613.40, 615,089,378,420.10 and 410,059,585,613.40

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Solution

The fourth proportional to 410,059,585,613.40, 615,089,378,420.10 and 410,059,585,613.40 is: 615,089,378,420.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,059,585,613.40 : 615,089,378,420.10 = 410,059,585,613.40 : x
  2. Step 2: Convert to fraction form
    410,059,585,613.40/615,089,378,420.10 = 410,059,585,613.40/x
  3. Step 3: Cross multiply
    410,059,585,613.40x = 615,089,378,420.10 × 410,059,585,613.40
  4. Step 4: Simplify right side
    410,059,585,613.40x = 252,223,295,630,149,978,947,584
  5. Step 5: Solve for x
    x = 252,223,295,630,149,978,947,584/410,059,585,613.40
  6. Step 6: Final answer
    x = 615,089,378,420.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.