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Finding the Fourth Proportional to 161,833,538,563.80, 242,750,307,845.70 and 161,833,538,563.80

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Solution

The fourth proportional to 161,833,538,563.80, 242,750,307,845.70 and 161,833,538,563.80 is: 242,750,307,845.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,833,538,563.80 : 242,750,307,845.70 = 161,833,538,563.80 : x
  2. Step 2: Convert to fraction form
    161,833,538,563.80/242,750,307,845.70 = 161,833,538,563.80/x
  3. Step 3: Cross multiply
    161,833,538,563.80x = 242,750,307,845.70 × 161,833,538,563.80
  4. Step 4: Simplify right side
    161,833,538,563.80x = 39,285,141,306,121,411,100,672
  5. Step 5: Solve for x
    x = 39,285,141,306,121,411,100,672/161,833,538,563.80
  6. Step 6: Final answer
    x = 242,750,307,845.70

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1.5x scale

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.