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Finding the Fourth Proportional to 427,182,513.10, 599,416,007.30 and 427,182,513.10

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Solution

The fourth proportional to 427,182,513.10, 599,416,007.30 and 427,182,513.10 is: 599,416,007.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,182,513.10 : 599,416,007.30 = 427,182,513.10 : x
  2. Step 2: Convert to fraction form
    427,182,513.10/599,416,007.30 = 427,182,513.10/x
  3. Step 3: Cross multiply
    427,182,513.10x = 599,416,007.30 × 427,182,513.10
  4. Step 4: Simplify right side
    427,182,513.10x = 256,060,036,390,781,952
  5. Step 5: Solve for x
    x = 256,060,036,390,781,952/427,182,513.10
  6. Step 6: Final answer
    x = 599,416,007.30

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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.