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Finding the Fourth Proportional to 713,521,344.80, 1,070,282,017.20 and 713,521,344.80

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Solution

The fourth proportional to 713,521,344.80, 1,070,282,017.20 and 713,521,344.80 is: 1,070,282,017.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,521,344.80 : 1,070,282,017.20 = 713,521,344.80 : x
  2. Step 2: Convert to fraction form
    713,521,344.80/1,070,282,017.20 = 713,521,344.80/x
  3. Step 3: Cross multiply
    713,521,344.80x = 1,070,282,017.20 × 713,521,344.80
  4. Step 4: Simplify right side
    713,521,344.80x = 763,669,064,227,800,704
  5. Step 5: Solve for x
    x = 763,669,064,227,800,704/713,521,344.80
  6. Step 6: Final answer
    x = 1,070,282,017.20

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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.