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Finding the Fourth Proportional to 880,069,874,448.10, 1,320,104,811,672.10 and 880,069,874,448.10

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Solution

The fourth proportional to 880,069,874,448.10, 1,320,104,811,672.10 and 880,069,874,448.10 is: 1,320,104,811,672.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    880,069,874,448.10 : 1,320,104,811,672.10 = 880,069,874,448.10 : x
  2. Step 2: Convert to fraction form
    880,069,874,448.10/1,320,104,811,672.10 = 880,069,874,448.10/x
  3. Step 3: Cross multiply
    880,069,874,448.10x = 1,320,104,811,672.10 × 880,069,874,448.10
  4. Step 4: Simplify right side
    880,069,874,448.10x = 1,161,784,475,866,597,796,347,904
  5. Step 5: Solve for x
    x = 1,161,784,475,866,597,796,347,904/880,069,874,448.10
  6. Step 6: Final answer
    x = 1,320,104,811,672.10

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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.