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Finding the Fourth Proportional to 896,869,422.30, 1,345,304,133.45 and 896,869,422.30

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Solution

The fourth proportional to 896,869,422.30, 1,345,304,133.45 and 896,869,422.30 is: 1,345,304,133.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,869,422.30 : 1,345,304,133.45 = 896,869,422.30 : x
  2. Step 2: Convert to fraction form
    896,869,422.30/1,345,304,133.45 = 896,869,422.30/x
  3. Step 3: Cross multiply
    896,869,422.30x = 1,345,304,133.45 × 896,869,422.30
  4. Step 4: Simplify right side
    896,869,422.30x = 1,206,562,140,985,103,616
  5. Step 5: Solve for x
    x = 1,206,562,140,985,103,616/896,869,422.30
  6. Step 6: Final answer
    x = 1,345,304,133.45

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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.