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Finding the Fourth Proportional to 640,973,703.15, 899,403,917.85 and 640,973,703.15

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Solution

The fourth proportional to 640,973,703.15, 899,403,917.85 and 640,973,703.15 is: 899,403,917.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,973,703.15 : 899,403,917.85 = 640,973,703.15 : x
  2. Step 2: Convert to fraction form
    640,973,703.15/899,403,917.85 = 640,973,703.15/x
  3. Step 3: Cross multiply
    640,973,703.15x = 899,403,917.85 × 640,973,703.15
  4. Step 4: Simplify right side
    640,973,703.15x = 576,494,259,851,932,928
  5. Step 5: Solve for x
    x = 576,494,259,851,932,928/640,973,703.15
  6. Step 6: Final answer
    x = 899,403,917.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.