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Finding the Fourth Proportional to 8,160,364,033.60, 11,446,277,470.40 and 8,160,364,033.60

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Solution

The fourth proportional to 8,160,364,033.60, 11,446,277,470.40 and 8,160,364,033.60 is: 11,446,277,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160,364,033.60 : 11,446,277,470.40 = 8,160,364,033.60 : x
  2. Step 2: Convert to fraction form
    8,160,364,033.60/11,446,277,470.40 = 8,160,364,033.60/x
  3. Step 3: Cross multiply
    8,160,364,033.60x = 11,446,277,470.40 × 8,160,364,033.60
  4. Step 4: Simplify right side
    8,160,364,033.60x = 93,405,790,988,058,148,864
  5. Step 5: Solve for x
    x = 93,405,790,988,058,148,864/8,160,364,033.60
  6. Step 6: Final answer
    x = 11,446,277,470.40

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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.