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Finding the Fourth Proportional to 601,865,781.48, 827,629,482 and 522,342,782.40

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Solution

The fourth proportional to 601,865,781.48, 827,629,482 and 522,342,782.40 is: 718,276,897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,865,781.48 : 827,629,482 = 522,342,782.40 : x
  2. Step 2: Convert to fraction form
    601,865,781.48/827,629,482 = 522,342,782.40/x
  3. Step 3: Cross multiply
    601,865,781.48x = 827,629,482 × 522,342,782.40
  4. Step 4: Simplify right side
    601,865,781.48x = 432,306,286,424,150,720
  5. Step 5: Solve for x
    x = 432,306,286,424,150,720/601,865,781.48
  6. Step 6: Final answer
    x = 718,276,897.82

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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.