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Finding the Fourth Proportional to 99,012,965,110.20, 148,519,447,665.30 and 99,012,965,110.20

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Solution

The fourth proportional to 99,012,965,110.20, 148,519,447,665.30 and 99,012,965,110.20 is: 148,519,447,665.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,012,965,110.20 : 148,519,447,665.30 = 99,012,965,110.20 : x
  2. Step 2: Convert to fraction form
    99,012,965,110.20/148,519,447,665.30 = 99,012,965,110.20/x
  3. Step 3: Cross multiply
    99,012,965,110.20x = 148,519,447,665.30 × 99,012,965,110.20
  4. Step 4: Simplify right side
    99,012,965,110.20x = 14,705,350,889,870,521,794,560
  5. Step 5: Solve for x
    x = 14,705,350,889,870,521,794,560/99,012,965,110.20
  6. Step 6: Final answer
    x = 148,519,447,665.30

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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.