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Finding the Fourth Proportional to 804,065,017.01, 1,202,394,826.88 and 764,838,692.51

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Solution

The fourth proportional to 804,065,017.01, 1,202,394,826.88 and 764,838,692.51 is: 1,143,735,976.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,065,017.01 : 1,202,394,826.88 = 764,838,692.51 : x
  2. Step 2: Convert to fraction form
    804,065,017.01/1,202,394,826.88 = 764,838,692.51/x
  3. Step 3: Cross multiply
    804,065,017.01x = 1,202,394,826.88 × 764,838,692.51
  4. Step 4: Simplify right side
    804,065,017.01x = 919,638,087,270,868,864
  5. Step 5: Solve for x
    x = 919,638,087,270,868,864/804,065,017.01
  6. Step 6: Final answer
    x = 1,143,735,976.34

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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.