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Finding the Fourth Proportional to 97,826,902.30, 146,740,353.45 and 97,826,902.30

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Solution

The fourth proportional to 97,826,902.30, 146,740,353.45 and 97,826,902.30 is: 146,740,353.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,826,902.30 : 146,740,353.45 = 97,826,902.30 : x
  2. Step 2: Convert to fraction form
    97,826,902.30/146,740,353.45 = 97,826,902.30/x
  3. Step 3: Cross multiply
    97,826,902.30x = 146,740,353.45 × 97,826,902.30
  4. Step 4: Simplify right side
    97,826,902.30x = 14,355,154,220,420,616
  5. Step 5: Solve for x
    x = 14,355,154,220,420,616/97,826,902.30
  6. Step 6: Final answer
    x = 146,740,353.45

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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.