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Finding the Fourth Proportional to 5,157,493,214.30, 7,736,239,821.45 and 5,157,493,214.30

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Solution

The fourth proportional to 5,157,493,214.30, 7,736,239,821.45 and 5,157,493,214.30 is: 7,736,239,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157,493,214.30 : 7,736,239,821.45 = 5,157,493,214.30 : x
  2. Step 2: Convert to fraction form
    5,157,493,214.30/7,736,239,821.45 = 5,157,493,214.30/x
  3. Step 3: Cross multiply
    5,157,493,214.30x = 7,736,239,821.45 × 5,157,493,214.30
  4. Step 4: Simplify right side
    5,157,493,214.30x = 39,899,604,383,325,822,976
  5. Step 5: Solve for x
    x = 39,899,604,383,325,822,976/5,157,493,214.30
  6. Step 6: Final answer
    x = 7,736,239,821.45

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Double scale
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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.