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Finding the Fourth Proportional to 870,744,692.30, 1,222,486,306.90 and 870,744,692.30

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Solution

The fourth proportional to 870,744,692.30, 1,222,486,306.90 and 870,744,692.30 is: 1,222,486,306.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,744,692.30 : 1,222,486,306.90 = 870,744,692.30 : x
  2. Step 2: Convert to fraction form
    870,744,692.30/1,222,486,306.90 = 870,744,692.30/x
  3. Step 3: Cross multiply
    870,744,692.30x = 1,222,486,306.90 × 870,744,692.30
  4. Step 4: Simplify right side
    870,744,692.30x = 1,064,473,463,142,603,904
  5. Step 5: Solve for x
    x = 1,064,473,463,142,603,904/870,744,692.30
  6. Step 6: Final answer
    x = 1,222,486,306.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.