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Finding the Fourth Proportional to 209,952,228.83, 314,928,343.24 and 209,952,228.83

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Solution

The fourth proportional to 209,952,228.83, 314,928,343.24 and 209,952,228.83 is: 314,928,343.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,228.83 : 314,928,343.24 = 209,952,228.83 : x
  2. Step 2: Convert to fraction form
    209,952,228.83/314,928,343.24 = 209,952,228.83/x
  3. Step 3: Cross multiply
    209,952,228.83x = 314,928,343.24 × 209,952,228.83
  4. Step 4: Simplify right side
    209,952,228.83x = 66,119,907,582,877,744
  5. Step 5: Solve for x
    x = 66,119,907,582,877,744/209,952,228.83
  6. Step 6: Final answer
    x = 314,928,343.24

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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.