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Finding the Fourth Proportional to 670,456,217.70, 1,005,684,326.55 and 670,456,217.70

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Solution

The fourth proportional to 670,456,217.70, 1,005,684,326.55 and 670,456,217.70 is: 1,005,684,326.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,456,217.70 : 1,005,684,326.55 = 670,456,217.70 : x
  2. Step 2: Convert to fraction form
    670,456,217.70/1,005,684,326.55 = 670,456,217.70/x
  3. Step 3: Cross multiply
    670,456,217.70x = 1,005,684,326.55 × 670,456,217.70
  4. Step 4: Simplify right side
    670,456,217.70x = 674,267,309,778,884,736
  5. Step 5: Solve for x
    x = 674,267,309,778,884,736/670,456,217.70
  6. Step 6: Final answer
    x = 1,005,684,326.55

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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.