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Finding the Fourth Proportional to 896,869,905.30, 1,345,304,857.95 and 413,140,497.30

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Solution

The fourth proportional to 896,869,905.30, 1,345,304,857.95 and 413,140,497.30 is: 619,710,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,869,905.30 : 1,345,304,857.95 = 413,140,497.30 : x
  2. Step 2: Convert to fraction form
    896,869,905.30/1,345,304,857.95 = 413,140,497.30/x
  3. Step 3: Cross multiply
    896,869,905.30x = 1,345,304,857.95 × 413,140,497.30
  4. Step 4: Simplify right side
    896,869,905.30x = 555,799,918,033,568,896
  5. Step 5: Solve for x
    x = 555,799,918,033,568,896/896,869,905.30
  6. Step 6: Final answer
    x = 619,710,745.95

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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.