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Finding the Fourth Proportional to 5,379,924,866,461.80, 8,069,887,299,692.30 and 5,379,924,866,461.80

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Solution

The fourth proportional to 5,379,924,866,461.80, 8,069,887,299,692.30 and 5,379,924,866,461.80 is: 8,069,887,299,692.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,379,924,866,461.80 : 8,069,887,299,692.30 = 5,379,924,866,461.80 : x
  2. Step 2: Convert to fraction form
    5,379,924,866,461.80/8,069,887,299,692.30 = 5,379,924,866,461.80/x
  3. Step 3: Cross multiply
    5,379,924,866,461.80x = 8,069,887,299,692.30 × 5,379,924,866,461.80
  4. Step 4: Simplify right side
    5,379,924,866,461.80x = 43,415,387,353,158,874,292,027,392
  5. Step 5: Solve for x
    x = 43,415,387,353,158,874,292,027,392/5,379,924,866,461.80
  6. Step 6: Final answer
    x = 8,069,887,299,692.30

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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.