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Finding the Fourth Proportional to 812,966,512.83, 1,121,893,786.05 and 460,542,503.07

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Solution

The fourth proportional to 812,966,512.83, 1,121,893,786.05 and 460,542,503.07 is: 635,548,653.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,966,512.83 : 1,121,893,786.05 = 460,542,503.07 : x
  2. Step 2: Convert to fraction form
    812,966,512.83/1,121,893,786.05 = 460,542,503.07/x
  3. Step 3: Cross multiply
    812,966,512.83x = 1,121,893,786.05 × 460,542,503.07
  4. Step 4: Simplify right side
    812,966,512.83x = 516,679,772,406,146,048
  5. Step 5: Solve for x
    x = 516,679,772,406,146,048/812,966,512.83
  6. Step 6: Final answer
    x = 635,548,653.30

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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.