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Finding the Fourth Proportional to 51,906,903.40, 77,860,355.10 and 51,906,903.40

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Solution

The fourth proportional to 51,906,903.40, 77,860,355.10 and 51,906,903.40 is: 77,860,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906,903.40 : 77,860,355.10 = 51,906,903.40 : x
  2. Step 2: Convert to fraction form
    51,906,903.40/77,860,355.10 = 51,906,903.40/x
  3. Step 3: Cross multiply
    51,906,903.40x = 77,860,355.10 × 51,906,903.40
  4. Step 4: Simplify right side
    51,906,903.40x = 4,041,489,930,865,397
  5. Step 5: Solve for x
    x = 4,041,489,930,865,397/51,906,903.40
  6. Step 6: Final answer
    x = 77,860,355.10

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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.