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Finding the Fourth Proportional to 656,369,099.64, 906,068,257.74 and 408,972,685.32

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Solution

The fourth proportional to 656,369,099.64, 906,068,257.74 and 408,972,685.32 is: 564,556,083.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,369,099.64 : 906,068,257.74 = 408,972,685.32 : x
  2. Step 2: Convert to fraction form
    656,369,099.64/906,068,257.74 = 408,972,685.32/x
  3. Step 3: Cross multiply
    656,369,099.64x = 906,068,257.74 × 408,972,685.32
  4. Step 4: Simplify right side
    656,369,099.64x = 370,557,168,451,141,696
  5. Step 5: Solve for x
    x = 370,557,168,451,141,696/656,369,099.64
  6. Step 6: Final answer
    x = 564,556,083.85

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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.