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Finding the Fourth Proportional to 564,630,921,520.20, 846,946,382,280.30 and 564,630,921,520.20

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Solution

The fourth proportional to 564,630,921,520.20, 846,946,382,280.30 and 564,630,921,520.20 is: 846,946,382,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,630,921,520.20 : 846,946,382,280.30 = 564,630,921,520.20 : x
  2. Step 2: Convert to fraction form
    564,630,921,520.20/846,946,382,280.30 = 564,630,921,520.20/x
  3. Step 3: Cross multiply
    564,630,921,520.20x = 846,946,382,280.30 × 564,630,921,520.20
  4. Step 4: Simplify right side
    564,630,921,520.20x = 478,212,116,305,125,356,601,344
  5. Step 5: Solve for x
    x = 478,212,116,305,125,356,601,344/564,630,921,520.20
  6. Step 6: Final answer
    x = 846,946,382,280.30

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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.