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Finding the Fourth Proportional to 71,510,688,015.20, 107,266,032,022.80 and 71,510,688,015.20

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Solution

The fourth proportional to 71,510,688,015.20, 107,266,032,022.80 and 71,510,688,015.20 is: 107,266,032,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,510,688,015.20 : 107,266,032,022.80 = 71,510,688,015.20 : x
  2. Step 2: Convert to fraction form
    71,510,688,015.20/107,266,032,022.80 = 71,510,688,015.20/x
  3. Step 3: Cross multiply
    71,510,688,015.20x = 107,266,032,022.80 × 71,510,688,015.20
  4. Step 4: Simplify right side
    71,510,688,015.20x = 7,670,667,750,610,903,760,896
  5. Step 5: Solve for x
    x = 7,670,667,750,610,903,760,896/71,510,688,015.20
  6. Step 6: Final answer
    x = 107,266,032,022.80

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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.