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Finding the Fourth Proportional to 47,869,059,968.60, 71,803,589,952.90 and 47,869,059,968.60

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Solution

The fourth proportional to 47,869,059,968.60, 71,803,589,952.90 and 47,869,059,968.60 is: 71,803,589,952.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,869,059,968.60 : 71,803,589,952.90 = 47,869,059,968.60 : x
  2. Step 2: Convert to fraction form
    47,869,059,968.60/71,803,589,952.90 = 47,869,059,968.60/x
  3. Step 3: Cross multiply
    47,869,059,968.60x = 71,803,589,952.90 × 47,869,059,968.60
  4. Step 4: Simplify right side
    47,869,059,968.60x = 3,437,170,353,416,134,197,248
  5. Step 5: Solve for x
    x = 3,437,170,353,416,134,197,248/47,869,059,968.60
  6. Step 6: Final answer
    x = 71,803,589,952.90

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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.