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Finding the Fourth Proportional to 858,761,976.70, 1,288,142,965.05 and 858,761,976.70

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Solution

The fourth proportional to 858,761,976.70, 1,288,142,965.05 and 858,761,976.70 is: 1,288,142,965.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    858,761,976.70 : 1,288,142,965.05 = 858,761,976.70 : x
  2. Step 2: Convert to fraction form
    858,761,976.70/1,288,142,965.05 = 858,761,976.70/x
  3. Step 3: Cross multiply
    858,761,976.70x = 1,288,142,965.05 × 858,761,976.70
  4. Step 4: Simplify right side
    858,761,976.70x = 1,106,208,198,938,537,088
  5. Step 5: Solve for x
    x = 1,106,208,198,938,537,088/858,761,976.70
  6. Step 6: Final answer
    x = 1,288,142,965.05

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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.