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Finding the Fourth Proportional to 454,977,007.30, 682,465,510.95 and 454,977,007.30

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Solution

The fourth proportional to 454,977,007.30, 682,465,510.95 and 454,977,007.30 is: 682,465,510.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,977,007.30 : 682,465,510.95 = 454,977,007.30 : x
  2. Step 2: Convert to fraction form
    454,977,007.30/682,465,510.95 = 454,977,007.30/x
  3. Step 3: Cross multiply
    454,977,007.30x = 682,465,510.95 × 454,977,007.30
  4. Step 4: Simplify right side
    454,977,007.30x = 310,506,115,757,496,384
  5. Step 5: Solve for x
    x = 310,506,115,757,496,384/454,977,007.30
  6. Step 6: Final answer
    x = 682,465,510.95

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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.