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Finding the Fourth Proportional to 474,920,181,331.20, 712,380,271,996.80 and 474,920,181,331.20

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Solution

The fourth proportional to 474,920,181,331.20, 712,380,271,996.80 and 474,920,181,331.20 is: 712,380,271,996.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,920,181,331.20 : 712,380,271,996.80 = 474,920,181,331.20 : x
  2. Step 2: Convert to fraction form
    474,920,181,331.20/712,380,271,996.80 = 474,920,181,331.20/x
  3. Step 3: Cross multiply
    474,920,181,331.20x = 712,380,271,996.80 × 474,920,181,331.20
  4. Step 4: Simplify right side
    474,920,181,331.20x = 338,323,767,953,489,834,016,768
  5. Step 5: Solve for x
    x = 338,323,767,953,489,834,016,768/474,920,181,331.20
  6. Step 6: Final answer
    x = 712,380,271,996.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.