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Finding the Fourth Proportional to 427,248,840.10, 640,873,260.15 and 427,248,840.10

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Solution

The fourth proportional to 427,248,840.10, 640,873,260.15 and 427,248,840.10 is: 640,873,260.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,248,840.10 : 640,873,260.15 = 427,248,840.10 : x
  2. Step 2: Convert to fraction form
    427,248,840.10/640,873,260.15 = 427,248,840.10/x
  3. Step 3: Cross multiply
    427,248,840.10x = 640,873,260.15 × 427,248,840.10
  4. Step 4: Simplify right side
    427,248,840.10x = 273,812,357,050,193,056
  5. Step 5: Solve for x
    x = 273,812,357,050,193,056/427,248,840.10
  6. Step 6: Final answer
    x = 640,873,260.15

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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.