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Finding the Fourth Proportional to 396,574,592,251.51, 594,978,598,799.61 and 127,958,533,305.82

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Solution

The fourth proportional to 396,574,592,251.51, 594,978,598,799.61 and 127,958,533,305.82 is: 191,975,457,677.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,574,592,251.51 : 594,978,598,799.61 = 127,958,533,305.82 : x
  2. Step 2: Convert to fraction form
    396,574,592,251.51/594,978,598,799.61 = 127,958,533,305.82/x
  3. Step 3: Cross multiply
    396,574,592,251.51x = 594,978,598,799.61 × 127,958,533,305.82
  4. Step 4: Simplify right side
    396,574,592,251.51x = 76,132,588,850,750,007,803,904
  5. Step 5: Solve for x
    x = 76,132,588,850,750,007,803,904/396,574,592,251.51
  6. Step 6: Final answer
    x = 191,975,457,677.50

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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.