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Finding the Fourth Proportional to 711,684,234.80, 1,065,734,761.80 and 468,027,940.40

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Solution

The fourth proportional to 711,684,234.80, 1,065,734,761.80 and 468,027,940.40 is: 700,863,699.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    711,684,234.80 : 1,065,734,761.80 = 468,027,940.40 : x
  2. Step 2: Convert to fraction form
    711,684,234.80/1,065,734,761.80 = 468,027,940.40/x
  3. Step 3: Cross multiply
    711,684,234.80x = 1,065,734,761.80 × 468,027,940.40
  4. Step 4: Simplify right side
    711,684,234.80x = 498,793,645,577,938,560
  5. Step 5: Solve for x
    x = 498,793,645,577,938,560/711,684,234.80
  6. Step 6: Final answer
    x = 700,863,699.36

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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.