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Finding the Fourth Proportional to 3,205,709,692,145.70, 4,808,564,538,218.70 and 3,205,709,692,145.70

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Solution

The fourth proportional to 3,205,709,692,145.70, 4,808,564,538,218.70 and 3,205,709,692,145.70 is: 4,808,564,538,218.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205,709,692,145.70 : 4,808,564,538,218.70 = 3,205,709,692,145.70 : x
  2. Step 2: Convert to fraction form
    3,205,709,692,145.70/4,808,564,538,218.70 = 3,205,709,692,145.70/x
  3. Step 3: Cross multiply
    3,205,709,692,145.70x = 4,808,564,538,218.70 × 3,205,709,692,145.70
  4. Step 4: Simplify right side
    3,205,709,692,145.70x = 15,414,861,945,475,799,936,139,264
  5. Step 5: Solve for x
    x = 15,414,861,945,475,799,936,139,264/3,205,709,692,145.70
  6. Step 6: Final answer
    x = 4,808,564,538,218.70

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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.