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Finding the Fourth Proportional to 266,901,871.80, 400,352,807.70 and 164,333,321.40

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Solution

The fourth proportional to 266,901,871.80, 400,352,807.70 and 164,333,321.40 is: 246,499,982.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,901,871.80 : 400,352,807.70 = 164,333,321.40 : x
  2. Step 2: Convert to fraction form
    266,901,871.80/400,352,807.70 = 164,333,321.40/x
  3. Step 3: Cross multiply
    266,901,871.80x = 400,352,807.70 × 164,333,321.40
  4. Step 4: Simplify right side
    266,901,871.80x = 65,791,306,621,156,496
  5. Step 5: Solve for x
    x = 65,791,306,621,156,496/266,901,871.80
  6. Step 6: Final answer
    x = 246,499,982.10

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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.