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Finding the Fourth Proportional to 865,761,706.64, 1,194,766,463.78 and 469,297,862.48

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Solution

The fourth proportional to 865,761,706.64, 1,194,766,463.78 and 469,297,862.48 is: 647,639,348.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,761,706.64 : 1,194,766,463.78 = 469,297,862.48 : x
  2. Step 2: Convert to fraction form
    865,761,706.64/1,194,766,463.78 = 469,297,862.48/x
  3. Step 3: Cross multiply
    865,761,706.64x = 1,194,766,463.78 × 469,297,862.48
  4. Step 4: Simplify right side
    865,761,706.64x = 560,701,347,606,422,080
  5. Step 5: Solve for x
    x = 560,701,347,606,422,080/865,761,706.64
  6. Step 6: Final answer
    x = 647,639,348.46

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