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Finding the Fourth Proportional to 559,872,634.80, 839,557,009.80 and 214,711,546.80

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Solution

The fourth proportional to 559,872,634.80, 839,557,009.80 and 214,711,546.80 is: 321,970,700.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,634.80 : 839,557,009.80 = 214,711,546.80 : x
  2. Step 2: Convert to fraction form
    559,872,634.80/839,557,009.80 = 214,711,546.80/x
  3. Step 3: Cross multiply
    559,872,634.80x = 839,557,009.80 × 214,711,546.80
  4. Step 4: Simplify right side
    559,872,634.80x = 180,262,584,200,940,768
  5. Step 5: Solve for x
    x = 180,262,584,200,940,768/559,872,634.80
  6. Step 6: Final answer
    x = 321,970,700.11

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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.