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Finding the Fourth Proportional to 39,865,066,881.70, 59,797,600,322.55 and 39,865,066,881.70

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Solution

The fourth proportional to 39,865,066,881.70, 59,797,600,322.55 and 39,865,066,881.70 is: 59,797,600,322.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,865,066,881.70 : 59,797,600,322.55 = 39,865,066,881.70 : x
  2. Step 2: Convert to fraction form
    39,865,066,881.70/59,797,600,322.55 = 39,865,066,881.70/x
  3. Step 3: Cross multiply
    39,865,066,881.70x = 59,797,600,322.55 × 39,865,066,881.70
  4. Step 4: Simplify right side
    39,865,066,881.70x = 2,383,835,336,223,621,120,000
  5. Step 5: Solve for x
    x = 2,383,835,336,223,621,120,000/39,865,066,881.70
  6. Step 6: Final answer
    x = 59,797,600,322.55

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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.