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Finding the Fourth Proportional to 427,075,222.10, 640,612,833.15 and 427,075,222.10

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Solution

The fourth proportional to 427,075,222.10, 640,612,833.15 and 427,075,222.10 is: 640,612,833.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,075,222.10 : 640,612,833.15 = 427,075,222.10 : x
  2. Step 2: Convert to fraction form
    427,075,222.10/640,612,833.15 = 427,075,222.10/x
  3. Step 3: Cross multiply
    427,075,222.10x = 640,612,833.15 × 427,075,222.10
  4. Step 4: Simplify right side
    427,075,222.10x = 273,589,867,997,646,496
  5. Step 5: Solve for x
    x = 273,589,867,997,646,496/427,075,222.10
  6. Step 6: Final answer
    x = 640,612,833.15

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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.