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Finding the Fourth Proportional to 559,873,999.80, 839,810,999.70 and 524,042,191.80

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Solution

The fourth proportional to 559,873,999.80, 839,810,999.70 and 524,042,191.80 is: 786,063,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,873,999.80 : 839,810,999.70 = 524,042,191.80 : x
  2. Step 2: Convert to fraction form
    559,873,999.80/839,810,999.70 = 524,042,191.80/x
  3. Step 3: Cross multiply
    559,873,999.80x = 839,810,999.70 × 524,042,191.80
  4. Step 4: Simplify right side
    559,873,999.80x = 440,096,396,980,537,152
  5. Step 5: Solve for x
    x = 440,096,396,980,537,152/559,873,999.80
  6. Step 6: Final answer
    x = 786,063,287.70

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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.