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Finding the Fourth Proportional to 6,034,176,908.80, 9,051,265,363.20 and 6,034,176,908.80

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Solution

The fourth proportional to 6,034,176,908.80, 9,051,265,363.20 and 6,034,176,908.80 is: 9,051,265,363.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034,176,908.80 : 9,051,265,363.20 = 6,034,176,908.80 : x
  2. Step 2: Convert to fraction form
    6,034,176,908.80/9,051,265,363.20 = 6,034,176,908.80/x
  3. Step 3: Cross multiply
    6,034,176,908.80x = 9,051,265,363.20 × 6,034,176,908.80
  4. Step 4: Simplify right side
    6,034,176,908.80x = 54,616,936,450,042,691,584
  5. Step 5: Solve for x
    x = 54,616,936,450,042,691,584/6,034,176,908.80
  6. Step 6: Final answer
    x = 9,051,265,363.20

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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.