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Finding the Fourth Proportional to 20,050,416,050.85, 30,075,624,076.29 and 20,050,416,050.85

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Solution

The fourth proportional to 20,050,416,050.85, 30,075,624,076.29 and 20,050,416,050.85 is: 30,075,624,076.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,050,416,050.85 : 30,075,624,076.29 = 20,050,416,050.85 : x
  2. Step 2: Convert to fraction form
    20,050,416,050.85/30,075,624,076.29 = 20,050,416,050.85/x
  3. Step 3: Cross multiply
    20,050,416,050.85x = 30,075,624,076.29 × 20,050,416,050.85
  4. Step 4: Simplify right side
    20,050,416,050.85x = 603,028,775,718,575,669,248
  5. Step 5: Solve for x
    x = 603,028,775,718,575,669,248/20,050,416,050.85
  6. Step 6: Final answer
    x = 30,075,624,076.29

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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.