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Finding the Fourth Proportional to 209,952,716.40, 314,929,074.60 and 205,473,740.40

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Solution

The fourth proportional to 209,952,716.40, 314,929,074.60 and 205,473,740.40 is: 308,210,610.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952,716.40 : 314,929,074.60 = 205,473,740.40 : x
  2. Step 2: Convert to fraction form
    209,952,716.40/314,929,074.60 = 205,473,740.40/x
  3. Step 3: Cross multiply
    209,952,716.40x = 314,929,074.60 × 205,473,740.40
  4. Step 4: Simplify right side
    209,952,716.40x = 64,709,654,918,772,640
  5. Step 5: Solve for x
    x = 64,709,654,918,772,640/209,952,716.40
  6. Step 6: Final answer
    x = 308,210,610.60

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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.