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Finding the Fourth Proportional to 159,297,216,187.60, 238,945,824,281.40 and 159,297,216,187.60

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Solution

The fourth proportional to 159,297,216,187.60, 238,945,824,281.40 and 159,297,216,187.60 is: 238,945,824,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,297,216,187.60 : 238,945,824,281.40 = 159,297,216,187.60 : x
  2. Step 2: Convert to fraction form
    159,297,216,187.60/238,945,824,281.40 = 159,297,216,187.60/x
  3. Step 3: Cross multiply
    159,297,216,187.60x = 238,945,824,281.40 × 159,297,216,187.60
  4. Step 4: Simplify right side
    159,297,216,187.60x = 38,063,404,627,678,455,660,544
  5. Step 5: Solve for x
    x = 38,063,404,627,678,455,660,544/159,297,216,187.60
  6. Step 6: Final answer
    x = 238,945,824,281.40

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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.