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Finding the Fourth Proportional to 8,014,465,006.80, 11,197,318,652.40 and 8,014,465,006.80

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Solution

The fourth proportional to 8,014,465,006.80, 11,197,318,652.40 and 8,014,465,006.80 is: 11,197,318,652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,014,465,006.80 : 11,197,318,652.40 = 8,014,465,006.80 : x
  2. Step 2: Convert to fraction form
    8,014,465,006.80/11,197,318,652.40 = 8,014,465,006.80/x
  3. Step 3: Cross multiply
    8,014,465,006.80x = 11,197,318,652.40 × 8,014,465,006.80
  4. Step 4: Simplify right side
    8,014,465,006.80x = 89,740,518,509,648,723,968
  5. Step 5: Solve for x
    x = 89,740,518,509,648,723,968/8,014,465,006.80
  6. Step 6: Final answer
    x = 11,197,318,652.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.