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Finding the Fourth Proportional to 539,492,077.80, 809,238,116.70 and 539,492,077.80

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Solution

The fourth proportional to 539,492,077.80, 809,238,116.70 and 539,492,077.80 is: 809,238,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,492,077.80 : 809,238,116.70 = 539,492,077.80 : x
  2. Step 2: Convert to fraction form
    539,492,077.80/809,238,116.70 = 539,492,077.80/x
  3. Step 3: Cross multiply
    539,492,077.80x = 809,238,116.70 × 539,492,077.80
  4. Step 4: Simplify right side
    539,492,077.80x = 436,577,553,013,441,856
  5. Step 5: Solve for x
    x = 436,577,553,013,441,856/539,492,077.80
  6. Step 6: Final answer
    x = 809,238,116.70

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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.