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Finding the Fourth Proportional to 6,885,306,775.35, 9,657,796,086.45 and 6,885,306,775.35

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Solution

The fourth proportional to 6,885,306,775.35, 9,657,796,086.45 and 6,885,306,775.35 is: 9,657,796,086.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885,306,775.35 : 9,657,796,086.45 = 6,885,306,775.35 : x
  2. Step 2: Convert to fraction form
    6,885,306,775.35/9,657,796,086.45 = 6,885,306,775.35/x
  3. Step 3: Cross multiply
    6,885,306,775.35x = 9,657,796,086.45 × 6,885,306,775.35
  4. Step 4: Simplify right side
    6,885,306,775.35x = 66,496,888,828,982,910,976
  5. Step 5: Solve for x
    x = 66,496,888,828,982,910,976/6,885,306,775.35
  6. Step 6: Final answer
    x = 9,657,796,086.45

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.