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Finding the Fourth Proportional to 213,408,659.76, 294,413,770.40 and 142,866,997.40

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Solution

The fourth proportional to 213,408,659.76, 294,413,770.40 and 142,866,997.40 is: 197,096,085.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,408,659.76 : 294,413,770.40 = 142,866,997.40 : x
  2. Step 2: Convert to fraction form
    213,408,659.76/294,413,770.40 = 142,866,997.40/x
  3. Step 3: Cross multiply
    213,408,659.76x = 294,413,770.40 × 142,866,997.40
  4. Step 4: Simplify right side
    213,408,659.76x = 42,062,011,368,074,592
  5. Step 5: Solve for x
    x = 42,062,011,368,074,592/213,408,659.76
  6. Step 6: Final answer
    x = 197,096,085.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.