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Finding the Fourth Proportional to 1,415,760,767,999.90, 2,123,641,151,999.90 and 1,415,760,767,999.90

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Solution

The fourth proportional to 1,415,760,767,999.90, 2,123,641,151,999.90 and 1,415,760,767,999.90 is: 2,123,641,151,999.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,415,760,767,999.90 : 2,123,641,151,999.90 = 1,415,760,767,999.90 : x
  2. Step 2: Convert to fraction form
    1,415,760,767,999.90/2,123,641,151,999.90 = 1,415,760,767,999.90/x
  3. Step 3: Cross multiply
    1,415,760,767,999.90x = 2,123,641,151,999.90 × 1,415,760,767,999.90
  4. Step 4: Simplify right side
    1,415,760,767,999.90x = 3,006,567,828,311,570,697,420,800
  5. Step 5: Solve for x
    x = 3,006,567,828,311,570,697,420,800/1,415,760,767,999.90
  6. Step 6: Final answer
    x = 2,123,641,151,999.90

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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.