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Finding the Fourth Proportional to 100,134,148,516.05, 150,201,222,774.08 and 100,134,148,516.05

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Solution

The fourth proportional to 100,134,148,516.05, 150,201,222,774.08 and 100,134,148,516.05 is: 150,201,222,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,134,148,516.05 : 150,201,222,774.08 = 100,134,148,516.05 : x
  2. Step 2: Convert to fraction form
    100,134,148,516.05/150,201,222,774.08 = 100,134,148,516.05/x
  3. Step 3: Cross multiply
    100,134,148,516.05x = 150,201,222,774.08 × 100,134,148,516.05
  4. Step 4: Simplify right side
    100,134,148,516.05x = 15,040,271,548,552,038,055,936
  5. Step 5: Solve for x
    x = 15,040,271,548,552,038,055,936/100,134,148,516.05
  6. Step 6: Final answer
    x = 150,201,222,774.08

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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.