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Finding the Fourth Proportional to 664,852,215.20, 997,278,322.80 and 664,852,215.20

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Solution

The fourth proportional to 664,852,215.20, 997,278,322.80 and 664,852,215.20 is: 997,278,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,852,215.20 : 997,278,322.80 = 664,852,215.20 : x
  2. Step 2: Convert to fraction form
    664,852,215.20/997,278,322.80 = 664,852,215.20/x
  3. Step 3: Cross multiply
    664,852,215.20x = 997,278,322.80 × 664,852,215.20
  4. Step 4: Simplify right side
    664,852,215.20x = 663,042,702,084,520,704
  5. Step 5: Solve for x
    x = 663,042,702,084,520,704/664,852,215.20
  6. Step 6: Final answer
    x = 997,278,322.80

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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.