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Finding the Fourth Proportional to 1,375,652,184.69, 1,898,350,144.55 and 840,698,827.15

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Solution

The fourth proportional to 1,375,652,184.69, 1,898,350,144.55 and 840,698,827.15 is: 1,160,133,904.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375,652,184.69 : 1,898,350,144.55 = 840,698,827.15 : x
  2. Step 2: Convert to fraction form
    1,375,652,184.69/1,898,350,144.55 = 840,698,827.15/x
  3. Step 3: Cross multiply
    1,375,652,184.69x = 1,898,350,144.55 × 840,698,827.15
  4. Step 4: Simplify right side
    1,375,652,184.69x = 1,595,940,740,043,217,920
  5. Step 5: Solve for x
    x = 1,595,940,740,043,217,920/1,375,652,184.69
  6. Step 6: Final answer
    x = 1,160,133,904.34

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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.