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Finding the Fourth Proportional to 737,322,648.24, 1,017,520,254 and 402,816,836.61

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Solution

The fourth proportional to 737,322,648.24, 1,017,520,254 and 402,816,836.61 is: 555,895,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    737,322,648.24 : 1,017,520,254 = 402,816,836.61 : x
  2. Step 2: Convert to fraction form
    737,322,648.24/1,017,520,254 = 402,816,836.61/x
  3. Step 3: Cross multiply
    737,322,648.24x = 1,017,520,254 × 402,816,836.61
  4. Step 4: Simplify right side
    737,322,648.24x = 409,874,289,902,883,712
  5. Step 5: Solve for x
    x = 409,874,289,902,883,712/737,322,648.24
  6. Step 6: Final answer
    x = 555,895,429.07

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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.