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Finding the Fourth Proportional to 427,075,234.60, 640,612,851.90 and 427,075,234.60

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Solution

The fourth proportional to 427,075,234.60, 640,612,851.90 and 427,075,234.60 is: 640,612,851.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,075,234.60 : 640,612,851.90 = 427,075,234.60 : x
  2. Step 2: Convert to fraction form
    427,075,234.60/640,612,851.90 = 427,075,234.60/x
  3. Step 3: Cross multiply
    427,075,234.60x = 640,612,851.90 × 427,075,234.60
  4. Step 4: Simplify right side
    427,075,234.60x = 273,589,884,012,967,552
  5. Step 5: Solve for x
    x = 273,589,884,012,967,552/427,075,234.60
  6. Step 6: Final answer
    x = 640,612,851.90

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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.