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Finding the Fourth Proportional to 209,952,288.80, 314,928,433.20 and 208,676,830.40

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Solution

The fourth proportional to 209,952,288.80, 314,928,433.20 and 208,676,830.40 is: 313,015,245.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,288.80 : 314,928,433.20 = 208,676,830.40 : x
  2. Step 2: Convert to fraction form
    209,952,288.80/314,928,433.20 = 208,676,830.40/x
  3. Step 3: Cross multiply
    209,952,288.80x = 314,928,433.20 × 208,676,830.40
  4. Step 4: Simplify right side
    209,952,288.80x = 65,718,267,243,014,128
  5. Step 5: Solve for x
    x = 65,718,267,243,014,128/209,952,288.80
  6. Step 6: Final answer
    x = 313,015,245.60

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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.