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Finding the Fourth Proportional to 474,920,181,070.20, 712,380,271,605.30 and 474,920,181,070.20

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Solution

The fourth proportional to 474,920,181,070.20, 712,380,271,605.30 and 474,920,181,070.20 is: 712,380,271,605.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,920,181,070.20 : 712,380,271,605.30 = 474,920,181,070.20 : x
  2. Step 2: Convert to fraction form
    474,920,181,070.20/712,380,271,605.30 = 474,920,181,070.20/x
  3. Step 3: Cross multiply
    474,920,181,070.20x = 712,380,271,605.30 × 474,920,181,070.20
  4. Step 4: Simplify right side
    474,920,181,070.20x = 338,323,767,581,627,337,670,656
  5. Step 5: Solve for x
    x = 338,323,767,581,627,337,670,656/474,920,181,070.20
  6. Step 6: Final answer
    x = 712,380,271,605.30

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Why These Related Problems?

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