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Finding the Fourth Proportional to 815,818,809.60, 1,223,728,214.40 and 815,818,809.60

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Solution

The fourth proportional to 815,818,809.60, 1,223,728,214.40 and 815,818,809.60 is: 1,223,728,214.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,818,809.60 : 1,223,728,214.40 = 815,818,809.60 : x
  2. Step 2: Convert to fraction form
    815,818,809.60/1,223,728,214.40 = 815,818,809.60/x
  3. Step 3: Cross multiply
    815,818,809.60x = 1,223,728,214.40 × 815,818,809.60
  4. Step 4: Simplify right side
    815,818,809.60x = 998,340,495,145,741,696
  5. Step 5: Solve for x
    x = 998,340,495,145,741,696/815,818,809.60
  6. Step 6: Final answer
    x = 1,223,728,214.40

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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.