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Finding the Fourth Proportional to 20,697,789,881.70, 31,046,684,822.55 and 20,697,789,881.70

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Solution

The fourth proportional to 20,697,789,881.70, 31,046,684,822.55 and 20,697,789,881.70 is: 31,046,684,822.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,697,789,881.70 : 31,046,684,822.55 = 20,697,789,881.70 : x
  2. Step 2: Convert to fraction form
    20,697,789,881.70/31,046,684,822.55 = 20,697,789,881.70/x
  3. Step 3: Cross multiply
    20,697,789,881.70x = 31,046,684,822.55 × 20,697,789,881.70
  4. Step 4: Simplify right side
    20,697,789,881.70x = 642,597,758,980,504,420,352
  5. Step 5: Solve for x
    x = 642,597,758,980,504,420,352/20,697,789,881.70
  6. Step 6: Final answer
    x = 31,046,684,822.55

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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.