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Finding the Fourth Proportional to 697,721,604.20, 1,046,582,406.30 and 697,721,604.20

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Solution

The fourth proportional to 697,721,604.20, 1,046,582,406.30 and 697,721,604.20 is: 1,046,582,406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,721,604.20 : 1,046,582,406.30 = 697,721,604.20 : x
  2. Step 2: Convert to fraction form
    697,721,604.20/1,046,582,406.30 = 697,721,604.20/x
  3. Step 3: Cross multiply
    697,721,604.20x = 1,046,582,406.30 × 697,721,604.20
  4. Step 4: Simplify right side
    697,721,604.20x = 730,223,155,451,132,160
  5. Step 5: Solve for x
    x = 730,223,155,451,132,160/697,721,604.20
  6. Step 6: Final answer
    x = 1,046,582,406.30

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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.