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Finding the Fourth Proportional to 123,768,682,707.60, 185,653,024,061.40 and 123,768,682,707.60

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Solution

The fourth proportional to 123,768,682,707.60, 185,653,024,061.40 and 123,768,682,707.60 is: 185,653,024,061.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,768,682,707.60 : 185,653,024,061.40 = 123,768,682,707.60 : x
  2. Step 2: Convert to fraction form
    123,768,682,707.60/185,653,024,061.40 = 123,768,682,707.60/x
  3. Step 3: Cross multiply
    123,768,682,707.60x = 185,653,024,061.40 × 123,768,682,707.60
  4. Step 4: Simplify right side
    123,768,682,707.60x = 22,978,030,228,761,844,121,600
  5. Step 5: Solve for x
    x = 22,978,030,228,761,844,121,600/123,768,682,707.60
  6. Step 6: Final answer
    x = 185,653,024,061.40

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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.