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Finding the Fourth Proportional to 255,280,991.15, 382,921,486.73 and 255,280,991.15

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Solution

The fourth proportional to 255,280,991.15, 382,921,486.73 and 255,280,991.15 is: 382,921,486.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,280,991.15 : 382,921,486.73 = 255,280,991.15 : x
  2. Step 2: Convert to fraction form
    255,280,991.15/382,921,486.73 = 255,280,991.15/x
  3. Step 3: Cross multiply
    255,280,991.15x = 382,921,486.73 × 255,280,991.15
  4. Step 4: Simplify right side
    255,280,991.15x = 97,752,576,665,065,984
  5. Step 5: Solve for x
    x = 97,752,576,665,065,984/255,280,991.15
  6. Step 6: Final answer
    x = 382,921,486.73

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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.