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Finding the Fourth Proportional to 52,474,608,072.68, 78,711,912,109.01 and 52,474,608,072.68

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Solution

The fourth proportional to 52,474,608,072.68, 78,711,912,109.01 and 52,474,608,072.68 is: 78,711,912,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,474,608,072.68 : 78,711,912,109.01 = 52,474,608,072.68 : x
  2. Step 2: Convert to fraction form
    52,474,608,072.68/78,711,912,109.01 = 52,474,608,072.68/x
  3. Step 3: Cross multiply
    52,474,608,072.68x = 78,711,912,109.01 × 52,474,608,072.68
  4. Step 4: Simplify right side
    52,474,608,072.68x = 4,130,376,738,571,141,251,072
  5. Step 5: Solve for x
    x = 4,130,376,738,571,141,251,072/52,474,608,072.68
  6. Step 6: Final answer
    x = 78,711,912,109.01

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Double scale
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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.