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Finding the Fourth Proportional to 670,388,548.30, 1,005,582,822.45 and 670,388,548.30

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Solution

The fourth proportional to 670,388,548.30, 1,005,582,822.45 and 670,388,548.30 is: 1,005,582,822.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,388,548.30 : 1,005,582,822.45 = 670,388,548.30 : x
  2. Step 2: Convert to fraction form
    670,388,548.30/1,005,582,822.45 = 670,388,548.30/x
  3. Step 3: Cross multiply
    670,388,548.30x = 1,005,582,822.45 × 670,388,548.30
  4. Step 4: Simplify right side
    670,388,548.30x = 674,131,208,537,672,192
  5. Step 5: Solve for x
    x = 674,131,208,537,672,192/670,388,548.30
  6. Step 6: Final answer
    x = 1,005,582,822.45

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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.