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Finding the Fourth Proportional to 83,140,991,998.60, 124,711,487,997.90 and 83,140,991,998.60

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Solution

The fourth proportional to 83,140,991,998.60, 124,711,487,997.90 and 83,140,991,998.60 is: 124,711,487,997.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,140,991,998.60 : 124,711,487,997.90 = 83,140,991,998.60 : x
  2. Step 2: Convert to fraction form
    83,140,991,998.60/124,711,487,997.90 = 83,140,991,998.60/x
  3. Step 3: Cross multiply
    83,140,991,998.60x = 124,711,487,997.90 × 83,140,991,998.60
  4. Step 4: Simplify right side
    83,140,991,998.60x = 10,368,636,825,766,903,939,072
  5. Step 5: Solve for x
    x = 10,368,636,825,766,903,939,072/83,140,991,998.60
  6. Step 6: Final answer
    x = 124,711,487,997.90

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Half scale
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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.