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Finding the Fourth Proportional to 2,578,522,090.77, 3,867,783,136.16 and 2,578,522,090.77

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Solution

The fourth proportional to 2,578,522,090.77, 3,867,783,136.16 and 2,578,522,090.77 is: 3,867,783,136.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,578,522,090.77 : 3,867,783,136.16 = 2,578,522,090.77 : x
  2. Step 2: Convert to fraction form
    2,578,522,090.77/3,867,783,136.16 = 2,578,522,090.77/x
  3. Step 3: Cross multiply
    2,578,522,090.77x = 3,867,783,136.16 × 2,578,522,090.77
  4. Step 4: Simplify right side
    2,578,522,090.77x = 9,973,164,258,883,338,240
  5. Step 5: Solve for x
    x = 9,973,164,258,883,338,240/2,578,522,090.77
  6. Step 6: Final answer
    x = 3,867,783,136.16

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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.