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Finding the Fourth Proportional to 1,098,755,903.70, 1,648,133,855.55 and 950,802,729.30

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Solution

The fourth proportional to 1,098,755,903.70, 1,648,133,855.55 and 950,802,729.30 is: 1,426,204,093.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098,755,903.70 : 1,648,133,855.55 = 950,802,729.30 : x
  2. Step 2: Convert to fraction form
    1,098,755,903.70/1,648,133,855.55 = 950,802,729.30/x
  3. Step 3: Cross multiply
    1,098,755,903.70x = 1,648,133,855.55 × 950,802,729.30
  4. Step 4: Simplify right side
    1,098,755,903.70x = 1,567,050,168,108,671,744
  5. Step 5: Solve for x
    x = 1,567,050,168,108,671,744/1,098,755,903.70
  6. Step 6: Final answer
    x = 1,426,204,093.95

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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.