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Finding the Fourth Proportional to 459,652,021.10, 689,478,031.65 and 459,652,021.10

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Solution

The fourth proportional to 459,652,021.10, 689,478,031.65 and 459,652,021.10 is: 689,478,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,652,021.10 : 689,478,031.65 = 459,652,021.10 : x
  2. Step 2: Convert to fraction form
    459,652,021.10/689,478,031.65 = 459,652,021.10/x
  3. Step 3: Cross multiply
    459,652,021.10x = 689,478,031.65 × 459,652,021.10
  4. Step 4: Simplify right side
    459,652,021.10x = 316,919,970,751,972,288
  5. Step 5: Solve for x
    x = 316,919,970,751,972,288/459,652,021.10
  6. Step 6: Final answer
    x = 689,478,031.65

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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.