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Finding the Fourth Proportional to 191,006,864.20, 286,510,296.30 and 191,006,864.20

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Solution

The fourth proportional to 191,006,864.20, 286,510,296.30 and 191,006,864.20 is: 286,510,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,006,864.20 : 286,510,296.30 = 191,006,864.20 : x
  2. Step 2: Convert to fraction form
    191,006,864.20/286,510,296.30 = 191,006,864.20/x
  3. Step 3: Cross multiply
    191,006,864.20x = 286,510,296.30 × 191,006,864.20
  4. Step 4: Simplify right side
    191,006,864.20x = 54,725,433,257,275,864
  5. Step 5: Solve for x
    x = 54,725,433,257,275,864/191,006,864.20
  6. Step 6: Final answer
    x = 286,510,296.30

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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.