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Finding the Fourth Proportional to 532,065,694.64, 734,243,723.16 and 297,120,483.68

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Solution

The fourth proportional to 532,065,694.64, 734,243,723.16 and 297,120,483.68 is: 410,022,394.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,065,694.64 : 734,243,723.16 = 297,120,483.68 : x
  2. Step 2: Convert to fraction form
    532,065,694.64/734,243,723.16 = 297,120,483.68/x
  3. Step 3: Cross multiply
    532,065,694.64x = 734,243,723.16 × 297,120,483.68
  4. Step 4: Simplify right side
    532,065,694.64x = 218,158,850,164,303,200
  5. Step 5: Solve for x
    x = 218,158,850,164,303,200/532,065,694.64
  6. Step 6: Final answer
    x = 410,022,394.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.