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Finding the Fourth Proportional to 465,714,460.80, 698,573,764.80 and 120,643,574.40

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Solution

The fourth proportional to 465,714,460.80, 698,573,764.80 and 120,643,574.40 is: 180,965,898.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,714,460.80 : 698,573,764.80 = 120,643,574.40 : x
  2. Step 2: Convert to fraction form
    465,714,460.80/698,573,764.80 = 120,643,574.40/x
  3. Step 3: Cross multiply
    465,714,460.80x = 698,573,764.80 × 120,643,574.40
  4. Step 4: Simplify right side
    465,714,460.80x = 84,278,435,967,536,896
  5. Step 5: Solve for x
    x = 84,278,435,967,536,896/465,714,460.80
  6. Step 6: Final answer
    x = 180,965,898.77

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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.