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Finding the Fourth Proportional to 590,978,409.40, 886,467,614.10 and 160,156,905.40

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Solution

The fourth proportional to 590,978,409.40, 886,467,614.10 and 160,156,905.40 is: 240,235,358.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,978,409.40 : 886,467,614.10 = 160,156,905.40 : x
  2. Step 2: Convert to fraction form
    590,978,409.40/886,467,614.10 = 160,156,905.40/x
  3. Step 3: Cross multiply
    590,978,409.40x = 886,467,614.10 × 160,156,905.40
  4. Step 4: Simplify right side
    590,978,409.40x = 141,973,909,811,577,408
  5. Step 5: Solve for x
    x = 141,973,909,811,577,408/590,978,409.40
  6. Step 6: Final answer
    x = 240,235,358.10

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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.