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Finding the Fourth Proportional to 472,392,901.80, 708,589,352.70 and 435,085,743.60

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Solution

The fourth proportional to 472,392,901.80, 708,589,352.70 and 435,085,743.60 is: 652,628,615.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,392,901.80 : 708,589,352.70 = 435,085,743.60 : x
  2. Step 2: Convert to fraction form
    472,392,901.80/708,589,352.70 = 435,085,743.60/x
  3. Step 3: Cross multiply
    472,392,901.80x = 708,589,352.70 × 435,085,743.60
  4. Step 4: Simplify right side
    472,392,901.80x = 308,297,125,426,522,176
  5. Step 5: Solve for x
    x = 308,297,125,426,522,176/472,392,901.80
  6. Step 6: Final answer
    x = 652,628,615.40

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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.