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Finding the Fourth Proportional to 646,094,429.80, 969,141,644.70 and 576,222,404.20

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Solution

The fourth proportional to 646,094,429.80, 969,141,644.70 and 576,222,404.20 is: 864,333,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,094,429.80 : 969,141,644.70 = 576,222,404.20 : x
  2. Step 2: Convert to fraction form
    646,094,429.80/969,141,644.70 = 576,222,404.20/x
  3. Step 3: Cross multiply
    646,094,429.80x = 969,141,644.70 × 576,222,404.20
  4. Step 4: Simplify right side
    646,094,429.80x = 558,441,128,519,376,256
  5. Step 5: Solve for x
    x = 558,441,128,519,376,256/646,094,429.80
  6. Step 6: Final answer
    x = 864,333,606.30

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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.