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Finding the Fourth Proportional to 139,968,000.30, 209,952,000.45 and 68,304,384.30

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Solution

The fourth proportional to 139,968,000.30, 209,952,000.45 and 68,304,384.30 is: 102,456,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968,000.30 : 209,952,000.45 = 68,304,384.30 : x
  2. Step 2: Convert to fraction form
    139,968,000.30/209,952,000.45 = 68,304,384.30/x
  3. Step 3: Cross multiply
    139,968,000.30x = 209,952,000.45 × 68,304,384.30
  4. Step 4: Simplify right side
    139,968,000.30x = 14,340,642,123,290,572
  5. Step 5: Solve for x
    x = 14,340,642,123,290,572/139,968,000.30
  6. Step 6: Final answer
    x = 102,456,576.45

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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.