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Finding the Fourth Proportional to 313,161,851.60, 469,742,777.40 and 313,161,851.60

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Solution

The fourth proportional to 313,161,851.60, 469,742,777.40 and 313,161,851.60 is: 469,742,777.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,161,851.60 : 469,742,777.40 = 313,161,851.60 : x
  2. Step 2: Convert to fraction form
    313,161,851.60/469,742,777.40 = 313,161,851.60/x
  3. Step 3: Cross multiply
    313,161,851.60x = 469,742,777.40 × 313,161,851.60
  4. Step 4: Simplify right side
    313,161,851.60x = 147,105,517,946,310,624
  5. Step 5: Solve for x
    x = 147,105,517,946,310,624/313,161,851.60
  6. Step 6: Final answer
    x = 469,742,777.40

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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.