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Finding the Fourth Proportional to 101,227,428,014.40, 151,841,142,021.60 and 101,227,428,014.40

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Solution

The fourth proportional to 101,227,428,014.40, 151,841,142,021.60 and 101,227,428,014.40 is: 151,841,142,021.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,227,428,014.40 : 151,841,142,021.60 = 101,227,428,014.40 : x
  2. Step 2: Convert to fraction form
    101,227,428,014.40/151,841,142,021.60 = 101,227,428,014.40/x
  3. Step 3: Cross multiply
    101,227,428,014.40x = 151,841,142,021.60 × 101,227,428,014.40
  4. Step 4: Simplify right side
    101,227,428,014.40x = 15,370,488,273,615,800,238,080
  5. Step 5: Solve for x
    x = 15,370,488,273,615,800,238,080/101,227,428,014.40
  6. Step 6: Final answer
    x = 151,841,142,021.60

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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.