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Finding the Fourth Proportional to 1,309,337,063.83, 1,964,264,323.38 and 480,298,404.66

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Solution

The fourth proportional to 1,309,337,063.83, 1,964,264,323.38 and 480,298,404.66 is: 720,542,514.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309,337,063.83 : 1,964,264,323.38 = 480,298,404.66 : x
  2. Step 2: Convert to fraction form
    1,309,337,063.83/1,964,264,323.38 = 480,298,404.66/x
  3. Step 3: Cross multiply
    1,309,337,063.83x = 1,964,264,323.38 × 480,298,404.66
  4. Step 4: Simplify right side
    1,309,337,063.83x = 943,433,020,849,968,384
  5. Step 5: Solve for x
    x = 943,433,020,849,968,384/1,309,337,063.83
  6. Step 6: Final answer
    x = 720,542,514.92

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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.