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Finding the Fourth Proportional to 896,974,912.20, 1,345,462,368.30 and 896,974,912.20

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Solution

The fourth proportional to 896,974,912.20, 1,345,462,368.30 and 896,974,912.20 is: 1,345,462,368.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,974,912.20 : 1,345,462,368.30 = 896,974,912.20 : x
  2. Step 2: Convert to fraction form
    896,974,912.20/1,345,462,368.30 = 896,974,912.20/x
  3. Step 3: Cross multiply
    896,974,912.20x = 1,345,462,368.30 × 896,974,912.20
  4. Step 4: Simplify right side
    896,974,912.20x = 1,206,845,989,674,296,576
  5. Step 5: Solve for x
    x = 1,206,845,989,674,296,576/896,974,912.20
  6. Step 6: Final answer
    x = 1,345,462,368.30

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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.