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Finding the Fourth Proportional to 842,798,844.96, 1,163,064,894.36 and 466,481,570.08

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Solution

The fourth proportional to 842,798,844.96, 1,163,064,894.36 and 466,481,570.08 is: 643,745,943.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    842,798,844.96 : 1,163,064,894.36 = 466,481,570.08 : x
  2. Step 2: Convert to fraction form
    842,798,844.96/1,163,064,894.36 = 466,481,570.08/x
  3. Step 3: Cross multiply
    842,798,844.96x = 1,163,064,894.36 × 466,481,570.08
  4. Step 4: Simplify right side
    842,798,844.96x = 542,548,338,025,982,080
  5. Step 5: Solve for x
    x = 542,548,338,025,982,080/842,798,844.96
  6. Step 6: Final answer
    x = 643,745,943.97

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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.