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Finding the Fourth Proportional to 640,973,916.90, 899,404,217.10 and 640,973,916.90

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Solution

The fourth proportional to 640,973,916.90, 899,404,217.10 and 640,973,916.90 is: 899,404,217.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,973,916.90 : 899,404,217.10 = 640,973,916.90 : x
  2. Step 2: Convert to fraction form
    640,973,916.90/899,404,217.10 = 640,973,916.90/x
  3. Step 3: Cross multiply
    640,973,916.90x = 899,404,217.10 × 640,973,916.90
  4. Step 4: Simplify right side
    640,973,916.90x = 576,494,643,910,964,992
  5. Step 5: Solve for x
    x = 576,494,643,910,964,992/640,973,916.90
  6. Step 6: Final answer
    x = 899,404,217.10

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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.