Home / 2,140,146,138,103-3,210,520,768,865.40-687,521,711,296.96

Finding the Fourth Proportional to 2,140,146,138,103, 3,210,520,768,865.40 and 687,521,711,296.96

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Solution

The fourth proportional to 2,140,146,138,103, 3,210,520,768,865.40 and 687,521,711,296.96 is: 1,031,379,443,611.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,146,138,103 : 3,210,520,768,865.40 = 687,521,711,296.96 : x
  2. Step 2: Convert to fraction form
    2,140,146,138,103/3,210,520,768,865.40 = 687,521,711,296.96/x
  3. Step 3: Cross multiply
    2,140,146,138,103x = 3,210,520,768,865.40 × 687,521,711,296.96
  4. Step 4: Simplify right side
    2,140,146,138,103x = 2,207,302,733,164,771,425,648,640
  5. Step 5: Solve for x
    x = 2,207,302,733,164,771,425,648,640/2,140,146,138,103
  6. Step 6: Final answer
    x = 1,031,379,443,611.87

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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.