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Finding the Fourth Proportional to 559,895,122.80, 839,842,684.20 and 171,777,855.60

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Solution

The fourth proportional to 559,895,122.80, 839,842,684.20 and 171,777,855.60 is: 257,666,783.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,895,122.80 : 839,842,684.20 = 171,777,855.60 : x
  2. Step 2: Convert to fraction form
    559,895,122.80/839,842,684.20 = 171,777,855.60/x
  3. Step 3: Cross multiply
    559,895,122.80x = 839,842,684.20 × 171,777,855.60
  4. Step 4: Simplify right side
    559,895,122.80x = 144,266,375,333,224,000
  5. Step 5: Solve for x
    x = 144,266,375,333,224,000/559,895,122.80
  6. Step 6: Final answer
    x = 257,666,783.40

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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.