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Finding the Fourth Proportional to 145,531,751,867.40, 218,297,627,801.10 and 145,531,751,867.40

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Solution

The fourth proportional to 145,531,751,867.40, 218,297,627,801.10 and 145,531,751,867.40 is: 218,297,627,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,531,751,867.40 : 218,297,627,801.10 = 145,531,751,867.40 : x
  2. Step 2: Convert to fraction form
    145,531,751,867.40/218,297,627,801.10 = 145,531,751,867.40/x
  3. Step 3: Cross multiply
    145,531,751,867.40x = 218,297,627,801.10 × 145,531,751,867.40
  4. Step 4: Simplify right side
    145,531,751,867.40x = 31,769,236,202,391,722,786,816
  5. Step 5: Solve for x
    x = 31,769,236,202,391,722,786,816/145,531,751,867.40
  6. Step 6: Final answer
    x = 218,297,627,801.10

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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.