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Finding the Fourth Proportional to 20,164,564,017.45, 30,246,846,026.18 and 20,164,564,017.45

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Solution

The fourth proportional to 20,164,564,017.45, 30,246,846,026.18 and 20,164,564,017.45 is: 30,246,846,026.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,164,564,017.45 : 30,246,846,026.18 = 20,164,564,017.45 : x
  2. Step 2: Convert to fraction form
    20,164,564,017.45/30,246,846,026.18 = 20,164,564,017.45/x
  3. Step 3: Cross multiply
    20,164,564,017.45x = 30,246,846,026.18 × 20,164,564,017.45
  4. Step 4: Simplify right side
    20,164,564,017.45x = 609,914,463,020,859,785,216
  5. Step 5: Solve for x
    x = 609,914,463,020,859,785,216/20,164,564,017.45
  6. Step 6: Final answer
    x = 30,246,846,026.18

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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.