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Finding the Fourth Proportional to 209,952,405.90, 314,361,738.45 and 209,952,405.90

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Solution

The fourth proportional to 209,952,405.90, 314,361,738.45 and 209,952,405.90 is: 314,361,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,405.90 : 314,361,738.45 = 209,952,405.90 : x
  2. Step 2: Convert to fraction form
    209,952,405.90/314,361,738.45 = 209,952,405.90/x
  3. Step 3: Cross multiply
    209,952,405.90x = 314,361,738.45 × 209,952,405.90
  4. Step 4: Simplify right side
    209,952,405.90x = 66,001,003,310,484,040
  5. Step 5: Solve for x
    x = 66,001,003,310,484,040/209,952,405.90
  6. Step 6: Final answer
    x = 314,361,738.45

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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.