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Finding the Fourth Proportional to 99,084,222,745.01, 148,626,334,117.52 and 99,084,222,745.01

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Solution

The fourth proportional to 99,084,222,745.01, 148,626,334,117.52 and 99,084,222,745.01 is: 148,626,334,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,084,222,745.01 : 148,626,334,117.52 = 99,084,222,745.01 : x
  2. Step 2: Convert to fraction form
    99,084,222,745.01/148,626,334,117.52 = 99,084,222,745.01/x
  3. Step 3: Cross multiply
    99,084,222,745.01x = 148,626,334,117.52 × 99,084,222,745.01
  4. Step 4: Simplify right side
    99,084,222,745.01x = 14,726,524,795,474,629,623,808
  5. Step 5: Solve for x
    x = 14,726,524,795,474,629,623,808/99,084,222,745.01
  6. Step 6: Final answer
    x = 148,626,334,117.52

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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.