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Finding the Fourth Proportional to 6,137,879,957.60, 9,206,819,936.40 and 6,137,879,957.60

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Solution

The fourth proportional to 6,137,879,957.60, 9,206,819,936.40 and 6,137,879,957.60 is: 9,206,819,936.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137,879,957.60 : 9,206,819,936.40 = 6,137,879,957.60 : x
  2. Step 2: Convert to fraction form
    6,137,879,957.60/9,206,819,936.40 = 6,137,879,957.60/x
  3. Step 3: Cross multiply
    6,137,879,957.60x = 9,206,819,936.40 × 6,137,879,957.60
  4. Step 4: Simplify right side
    6,137,879,957.60x = 56,510,355,560,861,671,424
  5. Step 5: Solve for x
    x = 56,510,355,560,861,671,424/6,137,879,957.60
  6. Step 6: Final answer
    x = 9,206,819,936.40

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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.