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Finding the Fourth Proportional to 267,142,470,077.80, 400,713,705,116.70 and 267,142,470,077.80

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Solution

The fourth proportional to 267,142,470,077.80, 400,713,705,116.70 and 267,142,470,077.80 is: 400,713,705,116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,142,470,077.80 : 400,713,705,116.70 = 267,142,470,077.80 : x
  2. Step 2: Convert to fraction form
    267,142,470,077.80/400,713,705,116.70 = 267,142,470,077.80/x
  3. Step 3: Cross multiply
    267,142,470,077.80x = 400,713,705,116.70 × 267,142,470,077.80
  4. Step 4: Simplify right side
    267,142,470,077.80x = 107,047,648,978,902,408,232,960
  5. Step 5: Solve for x
    x = 107,047,648,978,902,408,232,960/267,142,470,077.80
  6. Step 6: Final answer
    x = 400,713,705,116.70

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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.