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Finding the Fourth Proportional to 72,235,476,502.65, 108,353,214,753.97 and 72,235,476,502.65

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Solution

The fourth proportional to 72,235,476,502.65, 108,353,214,753.97 and 72,235,476,502.65 is: 108,353,214,753.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,235,476,502.65 : 108,353,214,753.97 = 72,235,476,502.65 : x
  2. Step 2: Convert to fraction form
    72,235,476,502.65/108,353,214,753.97 = 72,235,476,502.65/x
  3. Step 3: Cross multiply
    72,235,476,502.65x = 108,353,214,753.97 × 72,235,476,502.65
  4. Step 4: Simplify right side
    72,235,476,502.65x = 7,826,946,098,346,988,666,880
  5. Step 5: Solve for x
    x = 7,826,946,098,346,988,666,880/72,235,476,502.65
  6. Step 6: Final answer
    x = 108,353,214,753.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.