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Finding the Fourth Proportional to 652,512,693.87, 900,487,004.84 and 401,761,744.82

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Solution

The fourth proportional to 652,512,693.87, 900,487,004.84 and 401,761,744.82 is: 554,443,206.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,512,693.87 : 900,487,004.84 = 401,761,744.82 : x
  2. Step 2: Convert to fraction form
    652,512,693.87/900,487,004.84 = 401,761,744.82/x
  3. Step 3: Cross multiply
    652,512,693.87x = 900,487,004.84 × 401,761,744.82
  4. Step 4: Simplify right side
    652,512,693.87x = 361,781,230,252,254,208
  5. Step 5: Solve for x
    x = 361,781,230,252,254,208/652,512,693.87
  6. Step 6: Final answer
    x = 554,443,206.47

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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.