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Finding the Fourth Proportional to 6,863,211,009.60, 10,294,816,514.40 and 6,863,211,009.60

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Solution

The fourth proportional to 6,863,211,009.60, 10,294,816,514.40 and 6,863,211,009.60 is: 10,294,816,514.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863,211,009.60 : 10,294,816,514.40 = 6,863,211,009.60 : x
  2. Step 2: Convert to fraction form
    6,863,211,009.60/10,294,816,514.40 = 6,863,211,009.60/x
  3. Step 3: Cross multiply
    6,863,211,009.60x = 10,294,816,514.40 × 6,863,211,009.60
  4. Step 4: Simplify right side
    6,863,211,009.60x = 70,655,498,043,441,979,392
  5. Step 5: Solve for x
    x = 70,655,498,043,441,979,392/6,863,211,009.60
  6. Step 6: Final answer
    x = 10,294,816,514.40

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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.