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Finding the Fourth Proportional to 209,451,798,551.61, 314,177,701,978.65 and 50,274,897,913.35

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Solution

The fourth proportional to 209,451,798,551.61, 314,177,701,978.65 and 50,274,897,913.35 is: 75,412,347,866.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,451,798,551.61 : 314,177,701,978.65 = 50,274,897,913.35 : x
  2. Step 2: Convert to fraction form
    209,451,798,551.61/314,177,701,978.65 = 50,274,897,913.35/x
  3. Step 3: Cross multiply
    209,451,798,551.61x = 314,177,701,978.65 × 50,274,897,913.35
  4. Step 4: Simplify right side
    209,451,798,551.61x = 15,795,251,893,627,529,461,760
  5. Step 5: Solve for x
    x = 15,795,251,893,627,529,461,760/209,451,798,551.61
  6. Step 6: Final answer
    x = 75,412,347,866.45

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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.