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Finding the Fourth Proportional to 1,280,451,980.75, 1,766,482,652.87 and 857,202,006.77

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Solution

The fourth proportional to 1,280,451,980.75, 1,766,482,652.87 and 857,202,006.77 is: 1,182,576,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280,451,980.75 : 1,766,482,652.87 = 857,202,006.77 : x
  2. Step 2: Convert to fraction form
    1,280,451,980.75/1,766,482,652.87 = 857,202,006.77/x
  3. Step 3: Cross multiply
    1,280,451,980.75x = 1,766,482,652.87 × 857,202,006.77
  4. Step 4: Simplify right side
    1,280,451,980.75x = 1,514,232,474,955,724,800
  5. Step 5: Solve for x
    x = 1,514,232,474,955,724,800/1,280,451,980.75
  6. Step 6: Final answer
    x = 1,182,576,541.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.