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Finding the Fourth Proportional to 15,776,628,227,998, 23,664,942,341,996 and 15,776,628,227,998

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Solution

The fourth proportional to 15,776,628,227,998, 23,664,942,341,996 and 15,776,628,227,998 is: 23,664,942,341,996

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,776,628,227,998 : 23,664,942,341,996 = 15,776,628,227,998 : x
  2. Step 2: Convert to fraction form
    15,776,628,227,998/23,664,942,341,996 = 15,776,628,227,998/x
  3. Step 3: Cross multiply
    15,776,628,227,998x = 23,664,942,341,996 × 15,776,628,227,998
  4. Step 4: Simplify right side
    15,776,628,227,998x = 373,352,997,366,679,188,189,216,768
  5. Step 5: Solve for x
    x = 373,352,997,366,679,188,189,216,768/15,776,628,227,998
  6. Step 6: Final answer
    x = 23,664,942,341,996

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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.