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Finding the Fourth Proportional to 559,872,064.80, 839,808,097.20 and 524,040,256.80

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Solution

The fourth proportional to 559,872,064.80, 839,808,097.20 and 524,040,256.80 is: 786,060,385.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,872,064.80 : 839,808,097.20 = 524,040,256.80 : x
  2. Step 2: Convert to fraction form
    559,872,064.80/839,808,097.20 = 524,040,256.80/x
  3. Step 3: Cross multiply
    559,872,064.80x = 839,808,097.20 × 524,040,256.80
  4. Step 4: Simplify right side
    559,872,064.80x = 440,093,250,919,407,424
  5. Step 5: Solve for x
    x = 440,093,250,919,407,424/559,872,064.80
  6. Step 6: Final answer
    x = 786,060,385.20

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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.