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Finding the Fourth Proportional to 209,664,047.60, 314,496,071.40 and 209,664,047.60

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Solution

The fourth proportional to 209,664,047.60, 314,496,071.40 and 209,664,047.60 is: 314,496,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,664,047.60 : 314,496,071.40 = 209,664,047.60 : x
  2. Step 2: Convert to fraction form
    209,664,047.60/314,496,071.40 = 209,664,047.60/x
  3. Step 3: Cross multiply
    209,664,047.60x = 314,496,071.40 × 209,664,047.60
  4. Step 4: Simplify right side
    209,664,047.60x = 65,938,519,284,022,592
  5. Step 5: Solve for x
    x = 65,938,519,284,022,592/209,664,047.60
  6. Step 6: Final answer
    x = 314,496,071.40

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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.