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Finding the Fourth Proportional to 1,337,637,024,064.70, 2,006,455,536,097 and 1,337,637,024,064.70

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Solution

The fourth proportional to 1,337,637,024,064.70, 2,006,455,536,097 and 1,337,637,024,064.70 is: 2,006,455,536,097

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,337,637,024,064.70 : 2,006,455,536,097 = 1,337,637,024,064.70 : x
  2. Step 2: Convert to fraction form
    1,337,637,024,064.70/2,006,455,536,097 = 1,337,637,024,064.70/x
  3. Step 3: Cross multiply
    1,337,637,024,064.70x = 2,006,455,536,097 × 1,337,637,024,064.70
  4. Step 4: Simplify right side
    1,337,637,024,064.70x = 2,683,909,212,222,933,342,093,312
  5. Step 5: Solve for x
    x = 2,683,909,212,222,933,342,093,312/1,337,637,024,064.70
  6. Step 6: Final answer
    x = 2,006,455,536,097

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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.