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Finding the Fourth Proportional to 805,940,200.40, 1,206,894,761.40 and 644,697,064.40

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Solution

The fourth proportional to 805,940,200.40, 1,206,894,761.40 and 644,697,064.40 is: 965,433,303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,940,200.40 : 1,206,894,761.40 = 644,697,064.40 : x
  2. Step 2: Convert to fraction form
    805,940,200.40/1,206,894,761.40 = 644,697,064.40/x
  3. Step 3: Cross multiply
    805,940,200.40x = 1,206,894,761.40 × 644,697,064.40
  4. Step 4: Simplify right side
    805,940,200.40x = 778,081,509,714,318,464
  5. Step 5: Solve for x
    x = 778,081,509,714,318,464/805,940,200.40
  6. Step 6: Final answer
    x = 965,433,303.03

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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.