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Finding the Fourth Proportional to 640,774,114.40, 899,124,493.60 and 640,774,114.40

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Solution

The fourth proportional to 640,774,114.40, 899,124,493.60 and 640,774,114.40 is: 899,124,493.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,774,114.40 : 899,124,493.60 = 640,774,114.40 : x
  2. Step 2: Convert to fraction form
    640,774,114.40/899,124,493.60 = 640,774,114.40/x
  3. Step 3: Cross multiply
    640,774,114.40x = 899,124,493.60 × 640,774,114.40
  4. Step 4: Simplify right side
    640,774,114.40x = 576,135,701,121,888,448
  5. Step 5: Solve for x
    x = 576,135,701,121,888,448/640,774,114.40
  6. Step 6: Final answer
    x = 899,124,493.60

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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.