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Finding the Fourth Proportional to 802,235,710,930.73, 1,203,353,566,396.10 and 802,235,710,930.73

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Solution

The fourth proportional to 802,235,710,930.73, 1,203,353,566,396.10 and 802,235,710,930.73 is: 1,203,353,566,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,235,710,930.73 : 1,203,353,566,396.10 = 802,235,710,930.73 : x
  2. Step 2: Convert to fraction form
    802,235,710,930.73/1,203,353,566,396.10 = 802,235,710,930.73/x
  3. Step 3: Cross multiply
    802,235,710,930.73x = 1,203,353,566,396.10 × 802,235,710,930.73
  4. Step 4: Simplify right side
    802,235,710,930.73x = 965,373,203,838,804,709,867,520
  5. Step 5: Solve for x
    x = 965,373,203,838,804,709,867,520/802,235,710,930.73
  6. Step 6: Final answer
    x = 1,203,353,566,396.10

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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.