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Finding the Fourth Proportional to 741,803,005.56, 1,023,636,940.02 and 411,752,163

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Solution

The fourth proportional to 741,803,005.56, 1,023,636,940.02 and 411,752,163 is: 568,189,561.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    741,803,005.56 : 1,023,636,940.02 = 411,752,163 : x
  2. Step 2: Convert to fraction form
    741,803,005.56/1,023,636,940.02 = 411,752,163/x
  3. Step 3: Cross multiply
    741,803,005.56x = 1,023,636,940.02 × 411,752,163
  4. Step 4: Simplify right side
    741,803,005.56x = 421,484,724,179,936,256
  5. Step 5: Solve for x
    x = 421,484,724,179,936,256/741,803,005.56
  6. Step 6: Final answer
    x = 568,189,561.14

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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.