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Finding the Fourth Proportional to 839,808,835.20, 1,176,941,692.80 and 839,808,835.20

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Solution

The fourth proportional to 839,808,835.20, 1,176,941,692.80 and 839,808,835.20 is: 1,176,941,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,808,835.20 : 1,176,941,692.80 = 839,808,835.20 : x
  2. Step 2: Convert to fraction form
    839,808,835.20/1,176,941,692.80 = 839,808,835.20/x
  3. Step 3: Cross multiply
    839,808,835.20x = 1,176,941,692.80 × 839,808,835.20
  4. Step 4: Simplify right side
    839,808,835.20x = 988,406,032,128,684,288
  5. Step 5: Solve for x
    x = 988,406,032,128,684,288/839,808,835.20
  6. Step 6: Final answer
    x = 1,176,941,692.80

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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.