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Finding the Fourth Proportional to 803,475,743.76, 1,108,735,311.84 and 450,983,633.10

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Solution

The fourth proportional to 803,475,743.76, 1,108,735,311.84 and 450,983,633.10 is: 622,323,054.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,475,743.76 : 1,108,735,311.84 = 450,983,633.10 : x
  2. Step 2: Convert to fraction form
    803,475,743.76/1,108,735,311.84 = 450,983,633.10/x
  3. Step 3: Cross multiply
    803,475,743.76x = 1,108,735,311.84 × 450,983,633.10
  4. Step 4: Simplify right side
    803,475,743.76x = 500,021,479,079,864,640
  5. Step 5: Solve for x
    x = 500,021,479,079,864,640/803,475,743.76
  6. Step 6: Final answer
    x = 622,323,054.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.