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Finding the Fourth Proportional to 413,756,581, 620,637,982.62 and 183,663,807.88

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Solution

The fourth proportional to 413,756,581, 620,637,982.62 and 183,663,807.88 is: 275,497,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,756,581 : 620,637,982.62 = 183,663,807.88 : x
  2. Step 2: Convert to fraction form
    413,756,581/620,637,982.62 = 183,663,807.88/x
  3. Step 3: Cross multiply
    413,756,581x = 620,637,982.62 × 183,663,807.88
  4. Step 4: Simplify right side
    413,756,581x = 113,988,735,202,950,464
  5. Step 5: Solve for x
    x = 113,988,735,202,950,464/413,756,581
  6. Step 6: Final answer
    x = 275,497,092.83

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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.