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Finding the Fourth Proportional to 866,588,916.90, 1,195,578,864.99 and 569,391,227.22

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Solution

The fourth proportional to 866,588,916.90, 1,195,578,864.99 and 569,391,227.22 is: 785,553,685.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    866,588,916.90 : 1,195,578,864.99 = 569,391,227.22 : x
  2. Step 2: Convert to fraction form
    866,588,916.90/1,195,578,864.99 = 569,391,227.22/x
  3. Step 3: Cross multiply
    866,588,916.90x = 1,195,578,864.99 × 569,391,227.22
  4. Step 4: Simplify right side
    866,588,916.90x = 680,752,117,174,950,784
  5. Step 5: Solve for x
    x = 680,752,117,174,950,784/866,588,916.90
  6. Step 6: Final answer
    x = 785,553,685.14

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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.