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Finding the Fourth Proportional to 157,464,423.40, 219,940,009.40 and 157,464,423.40

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Solution

The fourth proportional to 157,464,423.40, 219,940,009.40 and 157,464,423.40 is: 219,940,009.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,464,423.40 : 219,940,009.40 = 157,464,423.40 : x
  2. Step 2: Convert to fraction form
    157,464,423.40/219,940,009.40 = 157,464,423.40/x
  3. Step 3: Cross multiply
    157,464,423.40x = 219,940,009.40 × 157,464,423.40
  4. Step 4: Simplify right side
    157,464,423.40x = 34,632,726,762,761,584
  5. Step 5: Solve for x
    x = 34,632,726,762,761,584/157,464,423.40
  6. Step 6: Final answer
    x = 219,940,009.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.