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Finding the Fourth Proportional to 559,872,586.80, 839,556,937.80 and 214,711,498.80

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Solution

The fourth proportional to 559,872,586.80, 839,556,937.80 and 214,711,498.80 is: 321,970,628.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,586.80 : 839,556,937.80 = 214,711,498.80 : x
  2. Step 2: Convert to fraction form
    559,872,586.80/839,556,937.80 = 214,711,498.80/x
  3. Step 3: Cross multiply
    559,872,586.80x = 839,556,937.80 × 214,711,498.80
  4. Step 4: Simplify right side
    559,872,586.80x = 180,262,528,442,976,384
  5. Step 5: Solve for x
    x = 180,262,528,442,976,384/559,872,586.80
  6. Step 6: Final answer
    x = 321,970,628.13

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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.