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Finding the Fourth Proportional to 1,300,665,939.98, 1,794,920,325.54 and 705,950,546.90

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Solution

The fourth proportional to 1,300,665,939.98, 1,794,920,325.54 and 705,950,546.90 is: 974,212,475.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,665,939.98 : 1,794,920,325.54 = 705,950,546.90 : x
  2. Step 2: Convert to fraction form
    1,300,665,939.98/1,794,920,325.54 = 705,950,546.90/x
  3. Step 3: Cross multiply
    1,300,665,939.98x = 1,794,920,325.54 × 705,950,546.90
  4. Step 4: Simplify right side
    1,300,665,939.98x = 1,267,124,985,456,889,088
  5. Step 5: Solve for x
    x = 1,267,124,985,456,889,088/1,300,665,939.98
  6. Step 6: Final answer
    x = 974,212,475.71

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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.