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Finding the Fourth Proportional to 209,952,230.20, 314,928,345.30 and 102,456,806.20

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Solution

The fourth proportional to 209,952,230.20, 314,928,345.30 and 102,456,806.20 is: 153,685,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,230.20 : 314,928,345.30 = 102,456,806.20 : x
  2. Step 2: Convert to fraction form
    209,952,230.20/314,928,345.30 = 102,456,806.20/x
  3. Step 3: Cross multiply
    209,952,230.20x = 314,928,345.30 × 102,456,806.20
  4. Step 4: Simplify right side
    209,952,230.20x = 32,266,552,441,288,784
  5. Step 5: Solve for x
    x = 32,266,552,441,288,784/209,952,230.20
  6. Step 6: Final answer
    x = 153,685,209.30

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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.