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Finding the Fourth Proportional to 8,176,504,562.90, 12,264,756,844.35 and 8,176,504,562.90

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Solution

The fourth proportional to 8,176,504,562.90, 12,264,756,844.35 and 8,176,504,562.90 is: 12,264,756,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,176,504,562.90 : 12,264,756,844.35 = 8,176,504,562.90 : x
  2. Step 2: Convert to fraction form
    8,176,504,562.90/12,264,756,844.35 = 8,176,504,562.90/x
  3. Step 3: Cross multiply
    8,176,504,562.90x = 12,264,756,844.35 × 8,176,504,562.90
  4. Step 4: Simplify right side
    8,176,504,562.90x = 100,282,840,300,686,786,560
  5. Step 5: Solve for x
    x = 100,282,840,300,686,786,560/8,176,504,562.90
  6. Step 6: Final answer
    x = 12,264,756,844.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.