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Finding the Fourth Proportional to 10,409,736,384,012, 15,614,604,576,019 and 10,409,736,384,012

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Solution

The fourth proportional to 10,409,736,384,012, 15,614,604,576,019 and 10,409,736,384,012 is: 15,614,604,576,019

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,409,736,384,012 : 15,614,604,576,019 = 10,409,736,384,012 : x
  2. Step 2: Convert to fraction form
    10,409,736,384,012/15,614,604,576,019 = 10,409,736,384,012/x
  3. Step 3: Cross multiply
    10,409,736,384,012x = 15,614,604,576,019 × 10,409,736,384,012
  4. Step 4: Simplify right side
    10,409,736,384,012x = 162,543,917,376,945,254,855,344,128
  5. Step 5: Solve for x
    x = 162,543,917,376,945,254,855,344,128/10,409,736,384,012
  6. Step 6: Final answer
    x = 15,614,604,576,019

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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.