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Finding the Fourth Proportional to 564,630,921,115.20, 846,946,381,672.80 and 564,630,921,115.20

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Solution

The fourth proportional to 564,630,921,115.20, 846,946,381,672.80 and 564,630,921,115.20 is: 846,946,381,672.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,630,921,115.20 : 846,946,381,672.80 = 564,630,921,115.20 : x
  2. Step 2: Convert to fraction form
    564,630,921,115.20/846,946,381,672.80 = 564,630,921,115.20/x
  3. Step 3: Cross multiply
    564,630,921,115.20x = 846,946,381,672.80 × 564,630,921,115.20
  4. Step 4: Simplify right side
    564,630,921,115.20x = 478,212,115,619,098,820,345,856
  5. Step 5: Solve for x
    x = 478,212,115,619,098,820,345,856/564,630,921,115.20
  6. Step 6: Final answer
    x = 846,946,381,672.80

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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.