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Finding the Fourth Proportional to 258,990,038.40, 388,485,057.60 and 258,990,038.40

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Solution

The fourth proportional to 258,990,038.40, 388,485,057.60 and 258,990,038.40 is: 388,485,057.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,990,038.40 : 388,485,057.60 = 258,990,038.40 : x
  2. Step 2: Convert to fraction form
    258,990,038.40/388,485,057.60 = 258,990,038.40/x
  3. Step 3: Cross multiply
    258,990,038.40x = 388,485,057.60 × 258,990,038.40
  4. Step 4: Simplify right side
    258,990,038.40x = 100,613,759,985,650,224
  5. Step 5: Solve for x
    x = 100,613,759,985,650,224/258,990,038.40
  6. Step 6: Final answer
    x = 388,485,057.60

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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.