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Finding the Fourth Proportional to 209,952,434.30, 314,928,651.46 and 209,952,434.30

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Solution

The fourth proportional to 209,952,434.30, 314,928,651.46 and 209,952,434.30 is: 314,928,651.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,434.30 : 314,928,651.46 = 209,952,434.30 : x
  2. Step 2: Convert to fraction form
    209,952,434.30/314,928,651.46 = 209,952,434.30/x
  3. Step 3: Cross multiply
    209,952,434.30x = 314,928,651.46 × 209,952,434.30
  4. Step 4: Simplify right side
    209,952,434.30x = 66,120,037,004,843,248
  5. Step 5: Solve for x
    x = 66,120,037,004,843,248/209,952,434.30
  6. Step 6: Final answer
    x = 314,928,651.46

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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.