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Finding the Fourth Proportional to 170,429,207.10, 255,643,810.65 and 170,429,207.10

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Solution

The fourth proportional to 170,429,207.10, 255,643,810.65 and 170,429,207.10 is: 255,643,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,429,207.10 : 255,643,810.65 = 170,429,207.10 : x
  2. Step 2: Convert to fraction form
    170,429,207.10/255,643,810.65 = 170,429,207.10/x
  3. Step 3: Cross multiply
    170,429,207.10x = 255,643,810.65 × 170,429,207.10
  4. Step 4: Simplify right side
    170,429,207.10x = 43,569,171,949,102,032
  5. Step 5: Solve for x
    x = 43,569,171,949,102,032/170,429,207.10
  6. Step 6: Final answer
    x = 255,643,810.65

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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.