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Finding the Fourth Proportional to 308,800,941,978.90, 463,201,412,968.35 and 308,800,941,978.90

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Solution

The fourth proportional to 308,800,941,978.90, 463,201,412,968.35 and 308,800,941,978.90 is: 463,201,412,968.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,800,941,978.90 : 463,201,412,968.35 = 308,800,941,978.90 : x
  2. Step 2: Convert to fraction form
    308,800,941,978.90/463,201,412,968.35 = 308,800,941,978.90/x
  3. Step 3: Cross multiply
    308,800,941,978.90x = 463,201,412,968.35 × 308,800,941,978.90
  4. Step 4: Simplify right side
    308,800,941,978.90x = 143,037,032,650,583,952,064,512
  5. Step 5: Solve for x
    x = 143,037,032,650,583,952,064,512/308,800,941,978.90
  6. Step 6: Final answer
    x = 463,201,412,968.35

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1.5x scale

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.