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Finding the Fourth Proportional to 470,359,795.68, 649,062,824.28 and 258,681,531

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Solution

The fourth proportional to 470,359,795.68, 649,062,824.28 and 258,681,531 is: 356,961,982.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,359,795.68 : 649,062,824.28 = 258,681,531 : x
  2. Step 2: Convert to fraction form
    470,359,795.68/649,062,824.28 = 258,681,531/x
  3. Step 3: Cross multiply
    470,359,795.68x = 649,062,824.28 × 258,681,531
  4. Step 4: Simplify right side
    470,359,795.68x = 167,900,565,099,934,368
  5. Step 5: Solve for x
    x = 167,900,565,099,934,368/470,359,795.68
  6. Step 6: Final answer
    x = 356,961,982.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.