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Finding the Fourth Proportional to 12,443,724,966.15, 18,665,587,449.23 and 12,443,724,966.15

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Solution

The fourth proportional to 12,443,724,966.15, 18,665,587,449.23 and 12,443,724,966.15 is: 18,665,587,449.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,443,724,966.15 : 18,665,587,449.23 = 12,443,724,966.15 : x
  2. Step 2: Convert to fraction form
    12,443,724,966.15/18,665,587,449.23 = 12,443,724,966.15/x
  3. Step 3: Cross multiply
    12,443,724,966.15x = 18,665,587,449.23 × 12,443,724,966.15
  4. Step 4: Simplify right side
    12,443,724,966.15x = 232,269,436,549,777,195,008
  5. Step 5: Solve for x
    x = 232,269,436,549,777,195,008/12,443,724,966.15
  6. Step 6: Final answer
    x = 18,665,587,449.23

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1.5x scale

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.