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Finding the Fourth Proportional to 823,685,998.05, 1,136,756,778.17 and 466,517,308.05

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Solution

The fourth proportional to 823,685,998.05, 1,136,756,778.17 and 466,517,308.05 is: 643,833,588.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,685,998.05 : 1,136,756,778.17 = 466,517,308.05 : x
  2. Step 2: Convert to fraction form
    823,685,998.05/1,136,756,778.17 = 466,517,308.05/x
  3. Step 3: Cross multiply
    823,685,998.05x = 1,136,756,778.17 × 466,517,308.05
  4. Step 4: Simplify right side
    823,685,998.05x = 530,316,712,057,126,784
  5. Step 5: Solve for x
    x = 530,316,712,057,126,784/823,685,998.05
  6. Step 6: Final answer
    x = 643,833,588.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.