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Finding the Fourth Proportional to 601,220,958,999.90, 901,831,438,499.80 and 601,220,958,999.90

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Solution

The fourth proportional to 601,220,958,999.90, 901,831,438,499.80 and 601,220,958,999.90 is: 901,831,438,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,220,958,999.90 : 901,831,438,499.80 = 601,220,958,999.90 : x
  2. Step 2: Convert to fraction form
    601,220,958,999.90/901,831,438,499.80 = 601,220,958,999.90/x
  3. Step 3: Cross multiply
    601,220,958,999.90x = 901,831,438,499.80 × 601,220,958,999.90
  4. Step 4: Simplify right side
    601,220,958,999.90x = 542,199,962,311,109,120,098,304
  5. Step 5: Solve for x
    x = 542,199,962,311,109,120,098,304/601,220,958,999.90
  6. Step 6: Final answer
    x = 901,831,438,499.80

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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.