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Finding the Fourth Proportional to 391,140,576,027.70, 586,710,864,041.55 and 391,140,576,027.70

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Solution

The fourth proportional to 391,140,576,027.70, 586,710,864,041.55 and 391,140,576,027.70 is: 586,710,864,041.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,140,576,027.70 : 586,710,864,041.55 = 391,140,576,027.70 : x
  2. Step 2: Convert to fraction form
    391,140,576,027.70/586,710,864,041.55 = 391,140,576,027.70/x
  3. Step 3: Cross multiply
    391,140,576,027.70x = 586,710,864,041.55 × 391,140,576,027.70
  4. Step 4: Simplify right side
    391,140,576,027.70x = 229,486,425,322,921,469,673,472
  5. Step 5: Solve for x
    x = 229,486,425,322,921,469,673,472/391,140,576,027.70
  6. Step 6: Final answer
    x = 586,710,864,041.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.