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Finding the Fourth Proportional to 565,687,833.99, 780,717,170.98 and 342,662,971.78

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Solution

The fourth proportional to 565,687,833.99, 780,717,170.98 and 342,662,971.78 is: 472,916,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,687,833.99 : 780,717,170.98 = 342,662,971.78 : x
  2. Step 2: Convert to fraction form
    565,687,833.99/780,717,170.98 = 342,662,971.78/x
  3. Step 3: Cross multiply
    565,687,833.99x = 780,717,170.98 × 342,662,971.78
  4. Step 4: Simplify right side
    565,687,833.99x = 267,522,865,926,824,480
  5. Step 5: Solve for x
    x = 267,522,865,926,824,480/565,687,833.99
  6. Step 6: Final answer
    x = 472,916,067.58

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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.