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Finding the Fourth Proportional to 31,894,427,998.60, 47,841,641,997.90 and 31,894,427,998.60

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Solution

The fourth proportional to 31,894,427,998.60, 47,841,641,997.90 and 31,894,427,998.60 is: 47,841,641,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894,427,998.60 : 47,841,641,997.90 = 31,894,427,998.60 : x
  2. Step 2: Convert to fraction form
    31,894,427,998.60/47,841,641,997.90 = 31,894,427,998.60/x
  3. Step 3: Cross multiply
    31,894,427,998.60x = 47,841,641,997.90 × 31,894,427,998.60
  4. Step 4: Simplify right side
    31,894,427,998.60x = 1,525,881,806,036,819,247,104
  5. Step 5: Solve for x
    x = 1,525,881,806,036,819,247,104/31,894,427,998.60
  6. Step 6: Final answer
    x = 47,841,641,997.90

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Double scale
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Similar ratio
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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.