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Finding the Fourth Proportional to 459,652,023.35, 689,478,035.03 and 459,652,023.35

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Solution

The fourth proportional to 459,652,023.35, 689,478,035.03 and 459,652,023.35 is: 689,478,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,652,023.35 : 689,478,035.03 = 459,652,023.35 : x
  2. Step 2: Convert to fraction form
    459,652,023.35/689,478,035.03 = 459,652,023.35/x
  3. Step 3: Cross multiply
    459,652,023.35x = 689,478,035.03 × 459,652,023.35
  4. Step 4: Simplify right side
    459,652,023.35x = 316,919,973,854,623,424
  5. Step 5: Solve for x
    x = 316,919,973,854,623,424/459,652,023.35
  6. Step 6: Final answer
    x = 689,478,035.03

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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.