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Finding the Fourth Proportional to 553,203,704.70, 829,805,557.05 and 521,458,962.30

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Solution

The fourth proportional to 553,203,704.70, 829,805,557.05 and 521,458,962.30 is: 782,188,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,203,704.70 : 829,805,557.05 = 521,458,962.30 : x
  2. Step 2: Convert to fraction form
    553,203,704.70/829,805,557.05 = 521,458,962.30/x
  3. Step 3: Cross multiply
    553,203,704.70x = 829,805,557.05 × 521,458,962.30
  4. Step 4: Simplify right side
    553,203,704.70x = 432,709,544,690,066,432
  5. Step 5: Solve for x
    x = 432,709,544,690,066,432/553,203,704.70
  6. Step 6: Final answer
    x = 782,188,443.45

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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.