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Finding the Fourth Proportional to 205,345,706.79, 283,390,978.70 and 116,006,665.39

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Solution

The fourth proportional to 205,345,706.79, 283,390,978.70 and 116,006,665.39 is: 160,097,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,345,706.79 : 283,390,978.70 = 116,006,665.39 : x
  2. Step 2: Convert to fraction form
    205,345,706.79/283,390,978.70 = 116,006,665.39/x
  3. Step 3: Cross multiply
    205,345,706.79x = 283,390,978.70 × 116,006,665.39
  4. Step 4: Simplify right side
    205,345,706.79x = 32,875,242,440,595,516
  5. Step 5: Solve for x
    x = 32,875,242,440,595,516/205,345,706.79
  6. Step 6: Final answer
    x = 160,097,052.69

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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.