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Finding the Fourth Proportional to 531,505,537.60, 797,258,306.40 and 208,389,409.60

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Solution

The fourth proportional to 531,505,537.60, 797,258,306.40 and 208,389,409.60 is: 312,584,114.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,505,537.60 : 797,258,306.40 = 208,389,409.60 : x
  2. Step 2: Convert to fraction form
    531,505,537.60/797,258,306.40 = 208,389,409.60/x
  3. Step 3: Cross multiply
    531,505,537.60x = 797,258,306.40 × 208,389,409.60
  4. Step 4: Simplify right side
    531,505,537.60x = 166,140,187,769,391,904
  5. Step 5: Solve for x
    x = 166,140,187,769,391,904/531,505,537.60
  6. Step 6: Final answer
    x = 312,584,114.40

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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.