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Finding the Fourth Proportional to 798,676,815.60, 1,198,015,223.40 and 798,676,815.60

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Solution

The fourth proportional to 798,676,815.60, 1,198,015,223.40 and 798,676,815.60 is: 1,198,015,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,676,815.60 : 1,198,015,223.40 = 798,676,815.60 : x
  2. Step 2: Convert to fraction form
    798,676,815.60/1,198,015,223.40 = 798,676,815.60/x
  3. Step 3: Cross multiply
    798,676,815.60x = 1,198,015,223.40 × 798,676,815.60
  4. Step 4: Simplify right side
    798,676,815.60x = 956,826,983,665,434,752
  5. Step 5: Solve for x
    x = 956,826,983,665,434,752/798,676,815.60
  6. Step 6: Final answer
    x = 1,198,015,223.40

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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.