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Finding the Fourth Proportional to 1,498,304,304.72, 2,242,978,692.84 and 906,302,967.84

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Solution

The fourth proportional to 1,498,304,304.72, 2,242,978,692.84 and 906,302,967.84 is: 1,356,745,915.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498,304,304.72 : 2,242,978,692.84 = 906,302,967.84 : x
  2. Step 2: Convert to fraction form
    1,498,304,304.72/2,242,978,692.84 = 906,302,967.84/x
  3. Step 3: Cross multiply
    1,498,304,304.72x = 2,242,978,692.84 × 906,302,967.84
  4. Step 4: Simplify right side
    1,498,304,304.72x = 2,032,818,246,122,776,064
  5. Step 5: Solve for x
    x = 2,032,818,246,122,776,064/1,498,304,304.72
  6. Step 6: Final answer
    x = 1,356,745,915.85

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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.