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Finding the Fourth Proportional to 1,585,598,628.60, 2,378,397,942.90 and 1,585,598,628.60

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Solution

The fourth proportional to 1,585,598,628.60, 2,378,397,942.90 and 1,585,598,628.60 is: 2,378,397,942.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,598,628.60 : 2,378,397,942.90 = 1,585,598,628.60 : x
  2. Step 2: Convert to fraction form
    1,585,598,628.60/2,378,397,942.90 = 1,585,598,628.60/x
  3. Step 3: Cross multiply
    1,585,598,628.60x = 2,378,397,942.90 × 1,585,598,628.60
  4. Step 4: Simplify right side
    1,585,598,628.60x = 3,771,184,516,527,301,120
  5. Step 5: Solve for x
    x = 3,771,184,516,527,301,120/1,585,598,628.60
  6. Step 6: Final answer
    x = 2,378,397,942.90

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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.