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Finding the Fourth Proportional to 514,891,639.80, 772,337,459.70 and 412,854,967.80

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Solution

The fourth proportional to 514,891,639.80, 772,337,459.70 and 412,854,967.80 is: 619,282,451.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,891,639.80 : 772,337,459.70 = 412,854,967.80 : x
  2. Step 2: Convert to fraction form
    514,891,639.80/772,337,459.70 = 412,854,967.80/x
  3. Step 3: Cross multiply
    514,891,639.80x = 772,337,459.70 × 412,854,967.80
  4. Step 4: Simplify right side
    514,891,639.80x = 318,863,357,055,177,344
  5. Step 5: Solve for x
    x = 318,863,357,055,177,344/514,891,639.80
  6. Step 6: Final answer
    x = 619,282,451.70

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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.