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Finding the Fourth Proportional to 935,634,905.20, 1,401,940,703.40 and 589,969,932.40

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Solution

The fourth proportional to 935,634,905.20, 1,401,940,703.40 and 589,969,932.40 is: 884,001,716.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,634,905.20 : 1,401,940,703.40 = 589,969,932.40 : x
  2. Step 2: Convert to fraction form
    935,634,905.20/1,401,940,703.40 = 589,969,932.40/x
  3. Step 3: Cross multiply
    935,634,905.20x = 1,401,940,703.40 × 589,969,932.40
  4. Step 4: Simplify right side
    935,634,905.20x = 827,102,862,013,706,496
  5. Step 5: Solve for x
    x = 827,102,862,013,706,496/935,634,905.20
  6. Step 6: Final answer
    x = 884,001,716.29

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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.