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Finding the Fourth Proportional to 517,701,708.60, 776,552,562.90 and 470,840,422.20

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Solution

The fourth proportional to 517,701,708.60, 776,552,562.90 and 470,840,422.20 is: 706,260,633.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,701,708.60 : 776,552,562.90 = 470,840,422.20 : x
  2. Step 2: Convert to fraction form
    517,701,708.60/776,552,562.90 = 470,840,422.20/x
  3. Step 3: Cross multiply
    517,701,708.60x = 776,552,562.90 × 470,840,422.20
  4. Step 4: Simplify right side
    517,701,708.60x = 365,632,336,576,328,064
  5. Step 5: Solve for x
    x = 365,632,336,576,328,064/517,701,708.60
  6. Step 6: Final answer
    x = 706,260,633.30

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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.