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Finding the Fourth Proportional to 590,105,313.33, 814,712,846.84 and 375,644,964.34

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Solution

The fourth proportional to 590,105,313.33, 814,712,846.84 and 375,644,964.34 is: 518,624,000.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,105,313.33 : 814,712,846.84 = 375,644,964.34 : x
  2. Step 2: Convert to fraction form
    590,105,313.33/814,712,846.84 = 375,644,964.34/x
  3. Step 3: Cross multiply
    590,105,313.33x = 814,712,846.84 × 375,644,964.34
  4. Step 4: Simplify right side
    590,105,313.33x = 306,042,778,298,551,680
  5. Step 5: Solve for x
    x = 306,042,778,298,551,680/590,105,313.33
  6. Step 6: Final answer
    x = 518,624,000.47

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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.