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Finding the Fourth Proportional to 553,203,533.70, 829,805,300.55 and 521,458,791.30

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Solution

The fourth proportional to 553,203,533.70, 829,805,300.55 and 521,458,791.30 is: 782,188,186.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,203,533.70 : 829,805,300.55 = 521,458,791.30 : x
  2. Step 2: Convert to fraction form
    553,203,533.70/829,805,300.55 = 521,458,791.30/x
  3. Step 3: Cross multiply
    553,203,533.70x = 829,805,300.55 × 521,458,791.30
  4. Step 4: Simplify right side
    553,203,533.70x = 432,709,269,039,136,192
  5. Step 5: Solve for x
    x = 432,709,269,039,136,192/553,203,533.70
  6. Step 6: Final answer
    x = 782,188,186.95

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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.