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Finding the Fourth Proportional to 969,752,895.10, 1,455,542,633.85 and 510,021,000.70

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Solution

The fourth proportional to 969,752,895.10, 1,455,542,633.85 and 510,021,000.70 is: 765,511,827.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    969,752,895.10 : 1,455,542,633.85 = 510,021,000.70 : x
  2. Step 2: Convert to fraction form
    969,752,895.10/1,455,542,633.85 = 510,021,000.70/x
  3. Step 3: Cross multiply
    969,752,895.10x = 1,455,542,633.85 × 510,021,000.70
  4. Step 4: Simplify right side
    969,752,895.10x = 742,357,310,677,690,624
  5. Step 5: Solve for x
    x = 742,357,310,677,690,624/969,752,895.10
  6. Step 6: Final answer
    x = 765,511,827.22

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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.