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Finding the Fourth Proportional to 122,486,271,208.60, 183,729,406,812.90 and 122,486,271,208.60

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Solution

The fourth proportional to 122,486,271,208.60, 183,729,406,812.90 and 122,486,271,208.60 is: 183,729,406,812.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,486,271,208.60 : 183,729,406,812.90 = 122,486,271,208.60 : x
  2. Step 2: Convert to fraction form
    122,486,271,208.60/183,729,406,812.90 = 122,486,271,208.60/x
  3. Step 3: Cross multiply
    122,486,271,208.60x = 183,729,406,812.90 × 122,486,271,208.60
  4. Step 4: Simplify right side
    122,486,271,208.60x = 22,504,329,951,880,071,348,224
  5. Step 5: Solve for x
    x = 22,504,329,951,880,071,348,224/122,486,271,208.60
  6. Step 6: Final answer
    x = 183,729,406,812.90

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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.