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Finding the Fourth Proportional to 1,363,997,877.65, 1,882,313,530.76 and 761,162,180.03

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Solution

The fourth proportional to 1,363,997,877.65, 1,882,313,530.76 and 761,162,180.03 is: 1,050,401,832.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,363,997,877.65 : 1,882,313,530.76 = 761,162,180.03 : x
  2. Step 2: Convert to fraction form
    1,363,997,877.65/1,882,313,530.76 = 761,162,180.03/x
  3. Step 3: Cross multiply
    1,363,997,877.65x = 1,882,313,530.76 × 761,162,180.03
  4. Step 4: Simplify right side
    1,363,997,877.65x = 1,432,745,870,579,856,896
  5. Step 5: Solve for x
    x = 1,432,745,870,579,856,896/1,363,997,877.65
  6. Step 6: Final answer
    x = 1,050,401,832.77

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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.