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Finding the Fourth Proportional to 66,047,287,723.20, 92,727,416,692.80 and 66,047,287,723.20

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Solution

The fourth proportional to 66,047,287,723.20, 92,727,416,692.80 and 66,047,287,723.20 is: 92,727,416,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,047,287,723.20 : 92,727,416,692.80 = 66,047,287,723.20 : x
  2. Step 2: Convert to fraction form
    66,047,287,723.20/92,727,416,692.80 = 66,047,287,723.20/x
  3. Step 3: Cross multiply
    66,047,287,723.20x = 92,727,416,692.80 × 66,047,287,723.20
  4. Step 4: Simplify right side
    66,047,287,723.20x = 6,124,394,370,138,420,281,344
  5. Step 5: Solve for x
    x = 6,124,394,370,138,420,281,344/66,047,287,723.20
  6. Step 6: Final answer
    x = 92,727,416,692.80

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.