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Finding the Fourth Proportional to 49,660,136,012.80, 74,490,204,019.22 and 49,660,136,012.80

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Solution

The fourth proportional to 49,660,136,012.80, 74,490,204,019.22 and 49,660,136,012.80 is: 74,490,204,019.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,660,136,012.80 : 74,490,204,019.22 = 49,660,136,012.80 : x
  2. Step 2: Convert to fraction form
    49,660,136,012.80/74,490,204,019.22 = 49,660,136,012.80/x
  3. Step 3: Cross multiply
    49,660,136,012.80x = 74,490,204,019.22 × 49,660,136,012.80
  4. Step 4: Simplify right side
    49,660,136,012.80x = 3,699,193,663,215,686,909,952
  5. Step 5: Solve for x
    x = 3,699,193,663,215,686,909,952/49,660,136,012.80
  6. Step 6: Final answer
    x = 74,490,204,019.22

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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.