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Finding the Fourth Proportional to 670,388,557.80, 1,005,582,836.70 and 670,388,557.80

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Solution

The fourth proportional to 670,388,557.80, 1,005,582,836.70 and 670,388,557.80 is: 1,005,582,836.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,388,557.80 : 1,005,582,836.70 = 670,388,557.80 : x
  2. Step 2: Convert to fraction form
    670,388,557.80/1,005,582,836.70 = 670,388,557.80/x
  3. Step 3: Cross multiply
    670,388,557.80x = 1,005,582,836.70 × 670,388,557.80
  4. Step 4: Simplify right side
    670,388,557.80x = 674,131,227,643,745,920
  5. Step 5: Solve for x
    x = 674,131,227,643,745,920/670,388,557.80
  6. Step 6: Final answer
    x = 1,005,582,836.70

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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.