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Finding the Fourth Proportional to 273,664,818,008.80, 410,497,227,013.20 and 273,664,818,008.80

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Solution

The fourth proportional to 273,664,818,008.80, 410,497,227,013.20 and 273,664,818,008.80 is: 410,497,227,013.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,664,818,008.80 : 410,497,227,013.20 = 273,664,818,008.80 : x
  2. Step 2: Convert to fraction form
    273,664,818,008.80/410,497,227,013.20 = 273,664,818,008.80/x
  3. Step 3: Cross multiply
    273,664,818,008.80x = 410,497,227,013.20 × 273,664,818,008.80
  4. Step 4: Simplify right side
    273,664,818,008.80x = 112,338,648,923,684,433,035,264
  5. Step 5: Solve for x
    x = 112,338,648,923,684,433,035,264/273,664,818,008.80
  6. Step 6: Final answer
    x = 410,497,227,013.20

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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.