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Finding the Fourth Proportional to 490,678,002.80, 735,391,813.80 and 260,757,234.80

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Solution

The fourth proportional to 490,678,002.80, 735,391,813.80 and 260,757,234.80 is: 390,803,612.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,678,002.80 : 735,391,813.80 = 260,757,234.80 : x
  2. Step 2: Convert to fraction form
    490,678,002.80/735,391,813.80 = 260,757,234.80/x
  3. Step 3: Cross multiply
    490,678,002.80x = 735,391,813.80 × 260,757,234.80
  4. Step 4: Simplify right side
    490,678,002.80x = 191,758,735,861,044,480
  5. Step 5: Solve for x
    x = 191,758,735,861,044,480/490,678,002.80
  6. Step 6: Final answer
    x = 390,803,612.08

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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.