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Finding the Fourth Proportional to 590,729,537.40, 886,094,306.10 and 590,729,537.40

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Solution

The fourth proportional to 590,729,537.40, 886,094,306.10 and 590,729,537.40 is: 886,094,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,729,537.40 : 886,094,306.10 = 590,729,537.40 : x
  2. Step 2: Convert to fraction form
    590,729,537.40/886,094,306.10 = 590,729,537.40/x
  3. Step 3: Cross multiply
    590,729,537.40x = 886,094,306.10 × 590,729,537.40
  4. Step 4: Simplify right side
    590,729,537.40x = 523,442,079,535,227,008
  5. Step 5: Solve for x
    x = 523,442,079,535,227,008/590,729,537.40
  6. Step 6: Final answer
    x = 886,094,306.10

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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.