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Finding the Fourth Proportional to 37,298,465,220.80, 55,947,697,831.20 and 37,298,465,220.80

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Solution

The fourth proportional to 37,298,465,220.80, 55,947,697,831.20 and 37,298,465,220.80 is: 55,947,697,831.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,298,465,220.80 : 55,947,697,831.20 = 37,298,465,220.80 : x
  2. Step 2: Convert to fraction form
    37,298,465,220.80/55,947,697,831.20 = 37,298,465,220.80/x
  3. Step 3: Cross multiply
    37,298,465,220.80x = 55,947,697,831.20 × 37,298,465,220.80
  4. Step 4: Simplify right side
    37,298,465,220.80x = 2,086,763,261,740,840,910,848
  5. Step 5: Solve for x
    x = 2,086,763,261,740,840,910,848/37,298,465,220.80
  6. Step 6: Final answer
    x = 55,947,697,831.20

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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.