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Finding the Fourth Proportional to 472,393,068.40, 708,589,602.60 and 397,566,175.60

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Solution

The fourth proportional to 472,393,068.40, 708,589,602.60 and 397,566,175.60 is: 596,349,263.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,393,068.40 : 708,589,602.60 = 397,566,175.60 : x
  2. Step 2: Convert to fraction form
    472,393,068.40/708,589,602.60 = 397,566,175.60/x
  3. Step 3: Cross multiply
    472,393,068.40x = 708,589,602.60 × 397,566,175.60
  4. Step 4: Simplify right side
    472,393,068.40x = 281,711,258,375,605,856
  5. Step 5: Solve for x
    x = 281,711,258,375,605,856/472,393,068.40
  6. Step 6: Final answer
    x = 596,349,263.40

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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.