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Finding the Fourth Proportional to 521,520,984,004.09, 782,281,476,006.09 and 521,520,984,004.09

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Solution

The fourth proportional to 521,520,984,004.09, 782,281,476,006.09 and 521,520,984,004.09 is: 782,281,476,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,520,984,004.09 : 782,281,476,006.09 = 521,520,984,004.09 : x
  2. Step 2: Convert to fraction form
    521,520,984,004.09/782,281,476,006.09 = 521,520,984,004.09/x
  3. Step 3: Cross multiply
    521,520,984,004.09x = 782,281,476,006.09 × 521,520,984,004.09
  4. Step 4: Simplify right side
    521,520,984,004.09x = 407,976,205,134,868,003,160,064
  5. Step 5: Solve for x
    x = 407,976,205,134,868,003,160,064/521,520,984,004.09
  6. Step 6: Final answer
    x = 782,281,476,006.09

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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.