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Finding the Fourth Proportional to 838,005,523.60, 1,257,008,285.40 and 838,005,523.60

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Solution

The fourth proportional to 838,005,523.60, 1,257,008,285.40 and 838,005,523.60 is: 1,257,008,285.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,005,523.60 : 1,257,008,285.40 = 838,005,523.60 : x
  2. Step 2: Convert to fraction form
    838,005,523.60/1,257,008,285.40 = 838,005,523.60/x
  3. Step 3: Cross multiply
    838,005,523.60x = 1,257,008,285.40 × 838,005,523.60
  4. Step 4: Simplify right side
    838,005,523.60x = 1,053,379,886,376,165,376
  5. Step 5: Solve for x
    x = 1,053,379,886,376,165,376/838,005,523.60
  6. Step 6: Final answer
    x = 1,257,008,285.40

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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.