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Finding the Fourth Proportional to 521,520,993,965.70, 782,281,490,948.55 and 521,520,993,965.70

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Solution

The fourth proportional to 521,520,993,965.70, 782,281,490,948.55 and 521,520,993,965.70 is: 782,281,490,948.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,520,993,965.70 : 782,281,490,948.55 = 521,520,993,965.70 : x
  2. Step 2: Convert to fraction form
    521,520,993,965.70/782,281,490,948.55 = 521,520,993,965.70/x
  3. Step 3: Cross multiply
    521,520,993,965.70x = 782,281,490,948.55 × 521,520,993,965.70
  4. Step 4: Simplify right side
    521,520,993,965.70x = 407,976,220,720,457,607,806,976
  5. Step 5: Solve for x
    x = 407,976,220,720,457,607,806,976/521,520,993,965.70
  6. Step 6: Final answer
    x = 782,281,490,948.55

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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.