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Finding the Fourth Proportional to 864,862,272,003.78, 1,297,293,408,005.70 and 864,862,272,003.78

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Solution

The fourth proportional to 864,862,272,003.78, 1,297,293,408,005.70 and 864,862,272,003.78 is: 1,297,293,408,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,862,272,003.78 : 1,297,293,408,005.70 = 864,862,272,003.78 : x
  2. Step 2: Convert to fraction form
    864,862,272,003.78/1,297,293,408,005.70 = 864,862,272,003.78/x
  3. Step 3: Cross multiply
    864,862,272,003.78x = 1,297,293,408,005.70 × 864,862,272,003.78
  4. Step 4: Simplify right side
    864,862,272,003.78x = 1,121,980,124,303,336,400,748,544
  5. Step 5: Solve for x
    x = 1,121,980,124,303,336,400,748,544/864,862,272,003.78
  6. Step 6: Final answer
    x = 1,297,293,408,005.70

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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.