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Finding the Fourth Proportional to 459,368,014,750.78, 689,052,022,126.15 and 459,368,014,750.78

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Solution

The fourth proportional to 459,368,014,750.78, 689,052,022,126.15 and 459,368,014,750.78 is: 689,052,022,126.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,368,014,750.78 : 689,052,022,126.15 = 459,368,014,750.78 : x
  2. Step 2: Convert to fraction form
    459,368,014,750.78/689,052,022,126.15 = 459,368,014,750.78/x
  3. Step 3: Cross multiply
    459,368,014,750.78x = 689,052,022,126.15 × 459,368,014,750.78
  4. Step 4: Simplify right side
    459,368,014,750.78x = 316,528,459,464,100,078,944,256
  5. Step 5: Solve for x
    x = 316,528,459,464,100,078,944,256/459,368,014,750.78
  6. Step 6: Final answer
    x = 689,052,022,126.15

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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.