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Finding the Fourth Proportional to 20,164,564,006.45, 30,246,846,009.68 and 20,164,564,006.45

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Solution

The fourth proportional to 20,164,564,006.45, 30,246,846,009.68 and 20,164,564,006.45 is: 30,246,846,009.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164,564,006.45 : 30,246,846,009.68 = 20,164,564,006.45 : x
  2. Step 2: Convert to fraction form
    20,164,564,006.45/30,246,846,009.68 = 20,164,564,006.45/x
  3. Step 3: Cross multiply
    20,164,564,006.45x = 30,246,846,009.68 × 20,164,564,006.45
  4. Step 4: Simplify right side
    20,164,564,006.45x = 609,914,462,355,429,130,240
  5. Step 5: Solve for x
    x = 609,914,462,355,429,130,240/20,164,564,006.45
  6. Step 6: Final answer
    x = 30,246,846,009.68

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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.