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Finding the Fourth Proportional to 209,952,256.20, 314,928,384.30 and 209,952,256.20

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Solution

The fourth proportional to 209,952,256.20, 314,928,384.30 and 209,952,256.20 is: 314,928,384.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,256.20 : 314,928,384.30 = 209,952,256.20 : x
  2. Step 2: Convert to fraction form
    209,952,256.20/314,928,384.30 = 209,952,256.20/x
  3. Step 3: Cross multiply
    209,952,256.20x = 314,928,384.30 × 209,952,256.20
  4. Step 4: Simplify right side
    209,952,256.20x = 66,119,924,825,205,656
  5. Step 5: Solve for x
    x = 66,119,924,825,205,656/209,952,256.20
  6. Step 6: Final answer
    x = 314,928,384.30

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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.