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Finding the Fourth Proportional to 720,236,414.20, 1,011,051,957.80 and 720,236,414.20

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Solution

The fourth proportional to 720,236,414.20, 1,011,051,957.80 and 720,236,414.20 is: 1,011,051,957.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,236,414.20 : 1,011,051,957.80 = 720,236,414.20 : x
  2. Step 2: Convert to fraction form
    720,236,414.20/1,011,051,957.80 = 720,236,414.20/x
  3. Step 3: Cross multiply
    720,236,414.20x = 1,011,051,957.80 × 720,236,414.20
  4. Step 4: Simplify right side
    720,236,414.20x = 728,196,436,655,761,792
  5. Step 5: Solve for x
    x = 728,196,436,655,761,792/720,236,414.20
  6. Step 6: Final answer
    x = 1,011,051,957.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.