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Finding the Fourth Proportional to 77,149,898,356.20, 115,724,847,534.30 and 77,149,898,356.20

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Solution

The fourth proportional to 77,149,898,356.20, 115,724,847,534.30 and 77,149,898,356.20 is: 115,724,847,534.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,149,898,356.20 : 115,724,847,534.30 = 77,149,898,356.20 : x
  2. Step 2: Convert to fraction form
    77,149,898,356.20/115,724,847,534.30 = 77,149,898,356.20/x
  3. Step 3: Cross multiply
    77,149,898,356.20x = 115,724,847,534.30 × 77,149,898,356.20
  4. Step 4: Simplify right side
    77,149,898,356.20x = 8,928,160,224,557,987,266,560
  5. Step 5: Solve for x
    x = 8,928,160,224,557,987,266,560/77,149,898,356.20
  6. Step 6: Final answer
    x = 115,724,847,534.30

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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.