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Finding the Fourth Proportional to 433,739,016,002.40, 650,608,524,003.55 and 433,739,016,002.40

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Solution

The fourth proportional to 433,739,016,002.40, 650,608,524,003.55 and 433,739,016,002.40 is: 650,608,524,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,739,016,002.40 : 650,608,524,003.55 = 433,739,016,002.40 : x
  2. Step 2: Convert to fraction form
    433,739,016,002.40/650,608,524,003.55 = 433,739,016,002.40/x
  3. Step 3: Cross multiply
    433,739,016,002.40x = 650,608,524,003.55 × 433,739,016,002.40
  4. Step 4: Simplify right side
    433,739,016,002.40x = 282,194,301,004,073,651,929,088
  5. Step 5: Solve for x
    x = 282,194,301,004,073,651,929,088/433,739,016,002.40
  6. Step 6: Final answer
    x = 650,608,524,003.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.