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Finding the Fourth Proportional to 343,202,692.30, 514,804,038.45 and 343,202,692.30

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Solution

The fourth proportional to 343,202,692.30, 514,804,038.45 and 343,202,692.30 is: 514,804,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,202,692.30 : 514,804,038.45 = 343,202,692.30 : x
  2. Step 2: Convert to fraction form
    343,202,692.30/514,804,038.45 = 343,202,692.30/x
  3. Step 3: Cross multiply
    343,202,692.30x = 514,804,038.45 × 343,202,692.30
  4. Step 4: Simplify right side
    343,202,692.30x = 176,682,132,002,952,736
  5. Step 5: Solve for x
    x = 176,682,132,002,952,736/343,202,692.30
  6. Step 6: Final answer
    x = 514,804,038.45

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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.